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Finding the Fourth Proportional to 137,233.92, 205,949.28 and 58,403.52

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Solution

The fourth proportional to 137,233.92, 205,949.28 and 58,403.52 is: 87,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,233.92 : 205,949.28 = 58,403.52 : x
  2. Step 2: Convert to fraction form
    137,233.92/205,949.28 = 58,403.52/x
  3. Step 3: Cross multiply
    137,233.92x = 205,949.28 × 58,403.52
  4. Step 4: Simplify right side
    137,233.92x = 12,028,162,893.47
  5. Step 5: Solve for x
    x = 12,028,162,893.47/137,233.92
  6. Step 6: Final answer
    x = 87,647.16

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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.