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Finding the Fourth Proportional to 157,123.87, 216,835.46 and 85,508.42

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Solution

The fourth proportional to 157,123.87, 216,835.46 and 85,508.42 is: 118,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,123.87 : 216,835.46 = 85,508.42 : x
  2. Step 2: Convert to fraction form
    157,123.87/216,835.46 = 85,508.42/x
  3. Step 3: Cross multiply
    157,123.87x = 216,835.46 × 85,508.42
  4. Step 4: Simplify right side
    157,123.87x = 18,541,257,584.57
  5. Step 5: Solve for x
    x = 18,541,257,584.57/157,123.87
  6. Step 6: Final answer
    x = 118,004.08

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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.