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Finding the Fourth Proportional to 130,471.98, 195,785.73 and 47,372.46

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Solution

The fourth proportional to 130,471.98, 195,785.73 and 47,372.46 is: 71,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,471.98 : 195,785.73 = 47,372.46 : x
  2. Step 2: Convert to fraction form
    130,471.98/195,785.73 = 47,372.46/x
  3. Step 3: Cross multiply
    130,471.98x = 195,785.73 × 47,372.46
  4. Step 4: Simplify right side
    130,471.98x = 9,274,851,663.00
  5. Step 5: Solve for x
    x = 9,274,851,663.00/130,471.98
  6. Step 6: Final answer
    x = 71,086.92

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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.