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Finding the Fourth Proportional to 156,712.14, 216,311.99 and 100,123.38

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Solution

The fourth proportional to 156,712.14, 216,311.99 and 100,123.38 is: 138,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,712.14 : 216,311.99 = 100,123.38 : x
  2. Step 2: Convert to fraction form
    156,712.14/216,311.99 = 100,123.38/x
  3. Step 3: Cross multiply
    156,712.14x = 216,311.99 × 100,123.38
  4. Step 4: Simplify right side
    156,712.14x = 21,657,887,072.71
  5. Step 5: Solve for x
    x = 21,657,887,072.71/156,712.14
  6. Step 6: Final answer
    x = 138,201.72

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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.