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Finding the Fourth Proportional to 135,594.69, 187,100.97 and 75,165.29

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Solution

The fourth proportional to 135,594.69, 187,100.97 and 75,165.29 is: 103,717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,594.69 : 187,100.97 = 75,165.29 : x
  2. Step 2: Convert to fraction form
    135,594.69/187,100.97 = 75,165.29/x
  3. Step 3: Cross multiply
    135,594.69x = 187,100.97 × 75,165.29
  4. Step 4: Simplify right side
    135,594.69x = 14,063,497,733.83
  5. Step 5: Solve for x
    x = 14,063,497,733.83/135,594.69
  6. Step 6: Final answer
    x = 103,717.17

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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.