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Finding the Fourth Proportional to 157,565.79, 217,401.44 and 96,296.31

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Solution

The fourth proportional to 157,565.79, 217,401.44 and 96,296.31 is: 132,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,565.79 : 217,401.44 = 96,296.31 : x
  2. Step 2: Convert to fraction form
    157,565.79/217,401.44 = 96,296.31/x
  3. Step 3: Cross multiply
    157,565.79x = 217,401.44 × 96,296.31
  4. Step 4: Simplify right side
    157,565.79x = 20,934,955,979.20
  5. Step 5: Solve for x
    x = 20,934,955,979.20/157,565.79
  6. Step 6: Final answer
    x = 132,864.86

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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.