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Finding the Fourth Proportional to 252,151.68, 378,260.31 and 92,202.71

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Solution

The fourth proportional to 252,151.68, 378,260.31 and 92,202.71 is: 138,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,151.68 : 378,260.31 = 92,202.71 : x
  2. Step 2: Convert to fraction form
    252,151.68/378,260.31 = 92,202.71/x
  3. Step 3: Cross multiply
    252,151.68x = 378,260.31 × 92,202.71
  4. Step 4: Simplify right side
    252,151.68x = 34,876,623,776.14
  5. Step 5: Solve for x
    x = 34,876,623,776.14/252,151.68
  6. Step 6: Final answer
    x = 138,316.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.