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Finding the Fourth Proportional to 131,888.38, 182,069.04 and 75,288.82

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Solution

The fourth proportional to 131,888.38, 182,069.04 and 75,288.82 is: 103,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,888.38 : 182,069.04 = 75,288.82 : x
  2. Step 2: Convert to fraction form
    131,888.38/182,069.04 = 75,288.82/x
  3. Step 3: Cross multiply
    131,888.38x = 182,069.04 × 75,288.82
  4. Step 4: Simplify right side
    131,888.38x = 13,707,763,180.13
  5. Step 5: Solve for x
    x = 13,707,763,180.13/131,888.38
  6. Step 6: Final answer
    x = 103,934.58

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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.