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Finding the Fourth Proportional to 131,471.16, 197,294.10 and 48,365.16

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Solution

The fourth proportional to 131,471.16, 197,294.10 and 48,365.16 is: 72,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,471.16 : 197,294.10 = 48,365.16 : x
  2. Step 2: Convert to fraction form
    131,471.16/197,294.10 = 48,365.16/x
  3. Step 3: Cross multiply
    131,471.16x = 197,294.10 × 48,365.16
  4. Step 4: Simplify right side
    131,471.16x = 9,542,160,713.56
  5. Step 5: Solve for x
    x = 9,542,160,713.56/131,471.16
  6. Step 6: Final answer
    x = 72,579.88

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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.