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Finding the Fourth Proportional to 156,923.68, 216,553.14 and 85,299.44

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Solution

The fourth proportional to 156,923.68, 216,553.14 and 85,299.44 is: 117,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,923.68 : 216,553.14 = 85,299.44 : x
  2. Step 2: Convert to fraction form
    156,923.68/216,553.14 = 85,299.44/x
  3. Step 3: Cross multiply
    156,923.68x = 216,553.14 × 85,299.44
  4. Step 4: Simplify right side
    156,923.68x = 18,471,861,572.24
  5. Step 5: Solve for x
    x = 18,471,861,572.24/156,923.68
  6. Step 6: Final answer
    x = 117,712.39

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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.