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Finding the Fourth Proportional to 135,460.92, 186,934.11 and 75,031.38

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Solution

The fourth proportional to 135,460.92, 186,934.11 and 75,031.38 is: 103,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,460.92 : 186,934.11 = 75,031.38 : x
  2. Step 2: Convert to fraction form
    135,460.92/186,934.11 = 75,031.38/x
  3. Step 3: Cross multiply
    135,460.92x = 186,934.11 × 75,031.38
  4. Step 4: Simplify right side
    135,460.92x = 14,025,924,242.37
  5. Step 5: Solve for x
    x = 14,025,924,242.37/135,460.92
  6. Step 6: Final answer
    x = 103,542.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.