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Finding the Fourth Proportional to 252,124.38, 347,944.62 and 138,947.14

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Solution

The fourth proportional to 252,124.38, 347,944.62 and 138,947.14 is: 191,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,124.38 : 347,944.62 = 138,947.14 : x
  2. Step 2: Convert to fraction form
    252,124.38/347,944.62 = 138,947.14/x
  3. Step 3: Cross multiply
    252,124.38x = 347,944.62 × 138,947.14
  4. Step 4: Simplify right side
    252,124.38x = 48,345,909,827.39
  5. Step 5: Solve for x
    x = 48,345,909,827.39/252,124.38
  6. Step 6: Final answer
    x = 191,754.20

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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.