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Finding the Fourth Proportional to 252,697.86, 348,713.85 and 137,974.38

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Solution

The fourth proportional to 252,697.86, 348,713.85 and 137,974.38 is: 190,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,697.86 : 348,713.85 = 137,974.38 : x
  2. Step 2: Convert to fraction form
    252,697.86/348,713.85 = 137,974.38/x
  3. Step 3: Cross multiply
    252,697.86x = 348,713.85 × 137,974.38
  4. Step 4: Simplify right side
    252,697.86x = 48,113,577,251.16
  5. Step 5: Solve for x
    x = 48,113,577,251.16/252,697.86
  6. Step 6: Final answer
    x = 190,399.62

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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.