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Finding the Fourth Proportional to 177,557.38, 245,036.46 and 102,105.88

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Solution

The fourth proportional to 177,557.38, 245,036.46 and 102,105.88 is: 140,910.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,557.38 : 245,036.46 = 102,105.88 : x
  2. Step 2: Convert to fraction form
    177,557.38/245,036.46 = 102,105.88/x
  3. Step 3: Cross multiply
    177,557.38x = 245,036.46 × 102,105.88
  4. Step 4: Simplify right side
    177,557.38x = 25,019,663,380.38
  5. Step 5: Solve for x
    x = 25,019,663,380.38/177,557.38
  6. Step 6: Final answer
    x = 140,910.30

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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.