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Finding the Fourth Proportional to 216,216.20, 323,546.70 and 146,232.20

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Solution

The fourth proportional to 216,216.20, 323,546.70 and 146,232.20 is: 218,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,216.20 : 323,546.70 = 146,232.20 : x
  2. Step 2: Convert to fraction form
    216,216.20/323,546.70 = 146,232.20/x
  3. Step 3: Cross multiply
    216,216.20x = 323,546.70 × 146,232.20
  4. Step 4: Simplify right side
    216,216.20x = 47,312,945,743.74
  5. Step 5: Solve for x
    x = 47,312,945,743.74/216,216.20
  6. Step 6: Final answer
    x = 218,822.39

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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.