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Finding the Fourth Proportional to 214,823.70, 322,235.55 and 164,999.70

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Solution

The fourth proportional to 214,823.70, 322,235.55 and 164,999.70 is: 247,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,823.70 : 322,235.55 = 164,999.70 : x
  2. Step 2: Convert to fraction form
    214,823.70/322,235.55 = 164,999.70/x
  3. Step 3: Cross multiply
    214,823.70x = 322,235.55 × 164,999.70
  4. Step 4: Simplify right side
    214,823.70x = 53,168,769,079.34
  5. Step 5: Solve for x
    x = 53,168,769,079.34/214,823.70
  6. Step 6: Final answer
    x = 247,499.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.