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Finding the Fourth Proportional to 136,107.41, 187,833.42 and 75,685.14

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Solution

The fourth proportional to 136,107.41, 187,833.42 and 75,685.14 is: 104,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,107.41 : 187,833.42 = 75,685.14 : x
  2. Step 2: Convert to fraction form
    136,107.41/187,833.42 = 75,685.14/x
  3. Step 3: Cross multiply
    136,107.41x = 187,833.42 × 75,685.14
  4. Step 4: Simplify right side
    136,107.41x = 14,216,198,689.38
  5. Step 5: Solve for x
    x = 14,216,198,689.38/136,107.41
  6. Step 6: Final answer
    x = 104,448.39

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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.