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Finding the Fourth Proportional to 137,215.92, 205,922.28 and 58,385.52

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Solution

The fourth proportional to 137,215.92, 205,922.28 and 58,385.52 is: 87,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,215.92 : 205,922.28 = 58,385.52 : x
  2. Step 2: Convert to fraction form
    137,215.92/205,922.28 = 58,385.52/x
  3. Step 3: Cross multiply
    137,215.92x = 205,922.28 × 58,385.52
  4. Step 4: Simplify right side
    137,215.92x = 12,022,879,397.39
  5. Step 5: Solve for x
    x = 12,022,879,397.39/137,215.92
  6. Step 6: Final answer
    x = 87,620.15

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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.