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Finding the Fourth Proportional to 135,591.64, 187,127.64 and 75,181.24

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Solution

The fourth proportional to 135,591.64, 187,127.64 and 75,181.24 is: 103,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,591.64 : 187,127.64 = 75,181.24 : x
  2. Step 2: Convert to fraction form
    135,591.64/187,127.64 = 75,181.24/x
  3. Step 3: Cross multiply
    135,591.64x = 187,127.64 × 75,181.24
  4. Step 4: Simplify right side
    135,591.64x = 14,068,488,013.47
  5. Step 5: Solve for x
    x = 14,068,488,013.47/135,591.64
  6. Step 6: Final answer
    x = 103,756.31

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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.