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Finding the Fourth Proportional to 135,542.38, 187,043.46 and 78,184.07

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Solution

The fourth proportional to 135,542.38, 187,043.46 and 78,184.07 is: 107,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,542.38 : 187,043.46 = 78,184.07 : x
  2. Step 2: Convert to fraction form
    135,542.38/187,043.46 = 78,184.07/x
  3. Step 3: Cross multiply
    135,542.38x = 187,043.46 × 78,184.07
  4. Step 4: Simplify right side
    135,542.38x = 14,623,818,969.68
  5. Step 5: Solve for x
    x = 14,623,818,969.68/135,542.38
  6. Step 6: Final answer
    x = 107,891.12

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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.