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Finding the Fourth Proportional to 247,932.96, 342,146.12 and 140,523.30

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Solution

The fourth proportional to 247,932.96, 342,146.12 and 140,523.30 is: 193,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,932.96 : 342,146.12 = 140,523.30 : x
  2. Step 2: Convert to fraction form
    247,932.96/342,146.12 = 140,523.30/x
  3. Step 3: Cross multiply
    247,932.96x = 342,146.12 × 140,523.30
  4. Step 4: Simplify right side
    247,932.96x = 48,079,501,864.60
  5. Step 5: Solve for x
    x = 48,079,501,864.60/247,932.96
  6. Step 6: Final answer
    x = 193,921.38

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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.