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Finding the Fourth Proportional to 157,536, 217,391 and 89,543.52

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Solution

The fourth proportional to 157,536, 217,391 and 89,543.52 is: 123,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,536 : 217,391 = 89,543.52 : x
  2. Step 2: Convert to fraction form
    157,536/217,391 = 89,543.52/x
  3. Step 3: Cross multiply
    157,536x = 217,391 × 89,543.52
  4. Step 4: Simplify right side
    157,536x = 19,465,955,356.32
  5. Step 5: Solve for x
    x = 19,465,955,356.32/157,536
  6. Step 6: Final answer
    x = 123,565.12

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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.