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Finding the Fourth Proportional to 177,471, 244,909.98 and 102,063.24

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Solution

The fourth proportional to 177,471, 244,909.98 and 102,063.24 is: 140,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,471 : 244,909.98 = 102,063.24 : x
  2. Step 2: Convert to fraction form
    177,471/244,909.98 = 102,063.24/x
  3. Step 3: Cross multiply
    177,471x = 244,909.98 × 102,063.24
  4. Step 4: Simplify right side
    177,471x = 24,996,306,067.14
  5. Step 5: Solve for x
    x = 24,996,306,067.14/177,471
  6. Step 6: Final answer
    x = 140,847.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.