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Finding the Fourth Proportional to 135,641.20, 187,187.10 and 75,214.39

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Solution

The fourth proportional to 135,641.20, 187,187.10 and 75,214.39 is: 103,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,641.20 : 187,187.10 = 75,214.39 : x
  2. Step 2: Convert to fraction form
    135,641.20/187,187.10 = 75,214.39/x
  3. Step 3: Cross multiply
    135,641.20x = 187,187.10 × 75,214.39
  4. Step 4: Simplify right side
    135,641.20x = 14,079,163,542.37
  5. Step 5: Solve for x
    x = 14,079,163,542.37/135,641.20
  6. Step 6: Final answer
    x = 103,797.10

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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.