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Finding the Fourth Proportional to 138,424.95, 207,627.10 and 54,168.95

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Solution

The fourth proportional to 138,424.95, 207,627.10 and 54,168.95 is: 81,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,424.95 : 207,627.10 = 54,168.95 : x
  2. Step 2: Convert to fraction form
    138,424.95/207,627.10 = 54,168.95/x
  3. Step 3: Cross multiply
    138,424.95x = 207,627.10 × 54,168.95
  4. Step 4: Simplify right side
    138,424.95x = 11,246,942,382.19
  5. Step 5: Solve for x
    x = 11,246,942,382.19/138,424.95
  6. Step 6: Final answer
    x = 81,249.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.