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Finding the Fourth Proportional to 157,096.20, 216,788.49 and 85,474.70

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Solution

The fourth proportional to 157,096.20, 216,788.49 and 85,474.70 is: 117,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,096.20 : 216,788.49 = 85,474.70 : x
  2. Step 2: Convert to fraction form
    157,096.20/216,788.49 = 85,474.70/x
  3. Step 3: Cross multiply
    157,096.20x = 216,788.49 × 85,474.70
  4. Step 4: Simplify right side
    157,096.20x = 18,529,930,062.26
  5. Step 5: Solve for x
    x = 18,529,930,062.26/157,096.20
  6. Step 6: Final answer
    x = 117,952.76

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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.