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Finding the Fourth Proportional to 269,712.74, 404,569.31 and 92,221.08

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Solution

The fourth proportional to 269,712.74, 404,569.31 and 92,221.08 is: 138,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,712.74 : 404,569.31 = 92,221.08 : x
  2. Step 2: Convert to fraction form
    269,712.74/404,569.31 = 92,221.08/x
  3. Step 3: Cross multiply
    269,712.74x = 404,569.31 × 92,221.08
  4. Step 4: Simplify right side
    269,712.74x = 37,309,818,241.95
  5. Step 5: Solve for x
    x = 37,309,818,241.95/269,712.74
  6. Step 6: Final answer
    x = 138,331.69

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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.