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Finding the Fourth Proportional to 227,761.70, 314,287.28 and 132,249.74

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Solution

The fourth proportional to 227,761.70, 314,287.28 and 132,249.74 is: 182,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,761.70 : 314,287.28 = 132,249.74 : x
  2. Step 2: Convert to fraction form
    227,761.70/314,287.28 = 132,249.74/x
  3. Step 3: Cross multiply
    227,761.70x = 314,287.28 × 132,249.74
  4. Step 4: Simplify right side
    227,761.70x = 41,564,411,065.31
  5. Step 5: Solve for x
    x = 41,564,411,065.31/227,761.70
  6. Step 6: Final answer
    x = 182,490.78

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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.