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Finding the Fourth Proportional to 185,862.69, 278,934.24 and 86,092.88

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Solution

The fourth proportional to 185,862.69, 278,934.24 and 86,092.88 is: 129,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,862.69 : 278,934.24 = 86,092.88 : x
  2. Step 2: Convert to fraction form
    185,862.69/278,934.24 = 86,092.88/x
  3. Step 3: Cross multiply
    185,862.69x = 278,934.24 × 86,092.88
  4. Step 4: Simplify right side
    185,862.69x = 24,014,252,052.21
  5. Step 5: Solve for x
    x = 24,014,252,052.21/185,862.69
  6. Step 6: Final answer
    x = 129,204.27

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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.