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Finding the Fourth Proportional to 135,594.82, 187,101.14 and 75,165.41

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Solution

The fourth proportional to 135,594.82, 187,101.14 and 75,165.41 is: 103,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,594.82 : 187,101.14 = 75,165.41 : x
  2. Step 2: Convert to fraction form
    135,594.82/187,101.14 = 75,165.41/x
  3. Step 3: Cross multiply
    135,594.82x = 187,101.14 × 75,165.41
  4. Step 4: Simplify right side
    135,594.82x = 14,063,532,964.06
  5. Step 5: Solve for x
    x = 14,063,532,964.06/135,594.82
  6. Step 6: Final answer
    x = 103,717.34

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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.