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Finding the Fourth Proportional to 157,728.14, 217,677.25 and 89,747.97

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Solution

The fourth proportional to 157,728.14, 217,677.25 and 89,747.97 is: 123,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,728.14 : 217,677.25 = 89,747.97 : x
  2. Step 2: Convert to fraction form
    157,728.14/217,677.25 = 89,747.97/x
  3. Step 3: Cross multiply
    157,728.14x = 217,677.25 × 89,747.97
  4. Step 4: Simplify right side
    157,728.14x = 19,536,091,078.31
  5. Step 5: Solve for x
    x = 19,536,091,078.31/157,728.14
  6. Step 6: Final answer
    x = 123,859.27

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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.