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Finding the Fourth Proportional to 138,443.20, 207,895.20 and 76,158.40

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Solution

The fourth proportional to 138,443.20, 207,895.20 and 76,158.40 is: 114,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,443.20 : 207,895.20 = 76,158.40 : x
  2. Step 2: Convert to fraction form
    138,443.20/207,895.20 = 76,158.40/x
  3. Step 3: Cross multiply
    138,443.20x = 207,895.20 × 76,158.40
  4. Step 4: Simplify right side
    138,443.20x = 15,832,965,799.68
  5. Step 5: Solve for x
    x = 15,832,965,799.68/138,443.20
  6. Step 6: Final answer
    x = 114,364.34

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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.