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Finding the Fourth Proportional to 216,084.50, 298,216.45 and 119,305.65

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Solution

The fourth proportional to 216,084.50, 298,216.45 and 119,305.65 is: 164,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,084.50 : 298,216.45 = 119,305.65 : x
  2. Step 2: Convert to fraction form
    216,084.50/298,216.45 = 119,305.65/x
  3. Step 3: Cross multiply
    216,084.50x = 298,216.45 × 119,305.65
  4. Step 4: Simplify right side
    216,084.50x = 35,578,907,407.94
  5. Step 5: Solve for x
    x = 35,578,907,407.94/216,084.50
  6. Step 6: Final answer
    x = 164,652.75

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.