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Finding the Fourth Proportional to 185,883.92, 278,451.66 and 85,906.43

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Solution

The fourth proportional to 185,883.92, 278,451.66 and 85,906.43 is: 128,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,883.92 : 278,451.66 = 85,906.43 : x
  2. Step 2: Convert to fraction form
    185,883.92/278,451.66 = 85,906.43/x
  3. Step 3: Cross multiply
    185,883.92x = 278,451.66 × 85,906.43
  4. Step 4: Simplify right side
    185,883.92x = 23,920,788,038.17
  5. Step 5: Solve for x
    x = 23,920,788,038.17/185,883.92
  6. Step 6: Final answer
    x = 128,686.70

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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.