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Finding the Fourth Proportional to 131,463.38, 181,456.68 and 77,767.06

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Solution

The fourth proportional to 131,463.38, 181,456.68 and 77,767.06 is: 107,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,463.38 : 181,456.68 = 77,767.06 : x
  2. Step 2: Convert to fraction form
    131,463.38/181,456.68 = 77,767.06/x
  3. Step 3: Cross multiply
    131,463.38x = 181,456.68 × 77,767.06
  4. Step 4: Simplify right side
    131,463.38x = 14,111,352,990.80
  5. Step 5: Solve for x
    x = 14,111,352,990.80/131,463.38
  6. Step 6: Final answer
    x = 107,340.56

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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.