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Finding the Fourth Proportional to 252,126.40, 347,947.38 and 138,949.12

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Solution

The fourth proportional to 252,126.40, 347,947.38 and 138,949.12 is: 191,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,126.40 : 347,947.38 = 138,949.12 : x
  2. Step 2: Convert to fraction form
    252,126.40/347,947.38 = 138,949.12/x
  3. Step 3: Cross multiply
    252,126.40x = 347,947.38 × 138,949.12
  4. Step 4: Simplify right side
    252,126.40x = 48,346,982,257.31
  5. Step 5: Solve for x
    x = 48,346,982,257.31/252,126.40
  6. Step 6: Final answer
    x = 191,756.92

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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.