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Finding the Fourth Proportional to 185,892.91, 256,534.22 and 101,009.97

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Solution

The fourth proportional to 185,892.91, 256,534.22 and 101,009.97 is: 139,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892.91 : 256,534.22 = 101,009.97 : x
  2. Step 2: Convert to fraction form
    185,892.91/256,534.22 = 101,009.97/x
  3. Step 3: Cross multiply
    185,892.91x = 256,534.22 × 101,009.97
  4. Step 4: Simplify right side
    185,892.91x = 25,912,514,118.70
  5. Step 5: Solve for x
    x = 25,912,514,118.70/185,892.91
  6. Step 6: Final answer
    x = 139,394.85

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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.