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Finding the Fourth Proportional to 234,489.33, 323,706.87 and 157,098.24

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Solution

The fourth proportional to 234,489.33, 323,706.87 and 157,098.24 is: 216,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,489.33 : 323,706.87 = 157,098.24 : x
  2. Step 2: Convert to fraction form
    234,489.33/323,706.87 = 157,098.24/x
  3. Step 3: Cross multiply
    234,489.33x = 323,706.87 × 157,098.24
  4. Step 4: Simplify right side
    234,489.33x = 50,853,779,552.91
  5. Step 5: Solve for x
    x = 50,853,779,552.91/234,489.33
  6. Step 6: Final answer
    x = 216,870.34

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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.