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Finding the Fourth Proportional to 185,854.98, 256,481.10 and 100,972.02

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Solution

The fourth proportional to 185,854.98, 256,481.10 and 100,972.02 is: 139,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,854.98 : 256,481.10 = 100,972.02 : x
  2. Step 2: Convert to fraction form
    185,854.98/256,481.10 = 100,972.02/x
  3. Step 3: Cross multiply
    185,854.98x = 256,481.10 × 100,972.02
  4. Step 4: Simplify right side
    185,854.98x = 25,897,414,758.82
  5. Step 5: Solve for x
    x = 25,897,414,758.82/185,854.98
  6. Step 6: Final answer
    x = 139,342.05

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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.