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Finding the Fourth Proportional to 159,402.92, 238,513.76 and 117,314.08

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Solution

The fourth proportional to 159,402.92, 238,513.76 and 117,314.08 is: 175,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,402.92 : 238,513.76 = 117,314.08 : x
  2. Step 2: Convert to fraction form
    159,402.92/238,513.76 = 117,314.08/x
  3. Step 3: Cross multiply
    159,402.92x = 238,513.76 × 117,314.08
  4. Step 4: Simplify right side
    159,402.92x = 27,981,022,321.74
  5. Step 5: Solve for x
    x = 27,981,022,321.74/159,402.92
  6. Step 6: Final answer
    x = 175,536.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.