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Finding the Fourth Proportional to 131,394.38, 181,324.24 and 71,778.38

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Solution

The fourth proportional to 131,394.38, 181,324.24 and 71,778.38 is: 99,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,394.38 : 181,324.24 = 71,778.38 : x
  2. Step 2: Convert to fraction form
    131,394.38/181,324.24 = 71,778.38/x
  3. Step 3: Cross multiply
    131,394.38x = 181,324.24 × 71,778.38
  4. Step 4: Simplify right side
    131,394.38x = 13,015,159,115.86
  5. Step 5: Solve for x
    x = 13,015,159,115.86/131,394.38
  6. Step 6: Final answer
    x = 99,054.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.