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Finding the Fourth Proportional to 157,668.14, 217,586.79 and 89,694.86

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Solution

The fourth proportional to 157,668.14, 217,586.79 and 89,694.86 is: 123,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,668.14 : 217,586.79 = 89,694.86 : x
  2. Step 2: Convert to fraction form
    157,668.14/217,586.79 = 89,694.86/x
  3. Step 3: Cross multiply
    157,668.14x = 217,586.79 × 89,694.86
  4. Step 4: Simplify right side
    157,668.14x = 19,516,415,578.97
  5. Step 5: Solve for x
    x = 19,516,415,578.97/157,668.14
  6. Step 6: Final answer
    x = 123,781.61

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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.