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Finding the Fourth Proportional to 157,585.71, 235,149.49 and 140,601.97

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Solution

The fourth proportional to 157,585.71, 235,149.49 and 140,601.97 is: 209,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,585.71 : 235,149.49 = 140,601.97 : x
  2. Step 2: Convert to fraction form
    157,585.71/235,149.49 = 140,601.97/x
  3. Step 3: Cross multiply
    157,585.71x = 235,149.49 × 140,601.97
  4. Step 4: Simplify right side
    157,585.71x = 33,062,481,744.56
  5. Step 5: Solve for x
    x = 33,062,481,744.56/157,585.71
  6. Step 6: Final answer
    x = 209,806.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.