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Finding the Fourth Proportional to 135,951.53, 187,643.12 and 75,542.94

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Solution

The fourth proportional to 135,951.53, 187,643.12 and 75,542.94 is: 104,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,951.53 : 187,643.12 = 75,542.94 : x
  2. Step 2: Convert to fraction form
    135,951.53/187,643.12 = 75,542.94/x
  3. Step 3: Cross multiply
    135,951.53x = 187,643.12 × 75,542.94
  4. Step 4: Simplify right side
    135,951.53x = 14,175,112,577.86
  5. Step 5: Solve for x
    x = 14,175,112,577.86/135,951.53
  6. Step 6: Final answer
    x = 104,265.93

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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.