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Finding the Fourth Proportional to 177,472, 244,911.36 and 102,064.24

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Solution

The fourth proportional to 177,472, 244,911.36 and 102,064.24 is: 140,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,472 : 244,911.36 = 102,064.24 : x
  2. Step 2: Convert to fraction form
    177,472/244,911.36 = 102,064.24/x
  3. Step 3: Cross multiply
    177,472x = 244,911.36 × 102,064.24
  4. Step 4: Simplify right side
    177,472x = 24,996,691,825.77
  5. Step 5: Solve for x
    x = 24,996,691,825.77/177,472
  6. Step 6: Final answer
    x = 140,848.65

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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.