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Finding the Fourth Proportional to 162,092.70, 223,715.28 and 101,713.68

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Solution

The fourth proportional to 162,092.70, 223,715.28 and 101,713.68 is: 140,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,092.70 : 223,715.28 = 101,713.68 : x
  2. Step 2: Convert to fraction form
    162,092.70/223,715.28 = 101,713.68/x
  3. Step 3: Cross multiply
    162,092.70x = 223,715.28 × 101,713.68
  4. Step 4: Simplify right side
    162,092.70x = 22,754,904,401.03
  5. Step 5: Solve for x
    x = 22,754,904,401.03/162,092.70
  6. Step 6: Final answer
    x = 140,382.04

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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.