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Finding the Fourth Proportional to 131,517.54, 197,305.47 and 38,016.18

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Solution

The fourth proportional to 131,517.54, 197,305.47 and 38,016.18 is: 57,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,517.54 : 197,305.47 = 38,016.18 : x
  2. Step 2: Convert to fraction form
    131,517.54/197,305.47 = 38,016.18/x
  3. Step 3: Cross multiply
    131,517.54x = 197,305.47 × 38,016.18
  4. Step 4: Simplify right side
    131,517.54x = 7,500,800,262.50
  5. Step 5: Solve for x
    x = 7,500,800,262.50/131,517.54
  6. Step 6: Final answer
    x = 57,032.70

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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.