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Finding the Fourth Proportional to 253,257.92, 379,904.88 and 75,750.56

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Solution

The fourth proportional to 253,257.92, 379,904.88 and 75,750.56 is: 113,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,257.92 : 379,904.88 = 75,750.56 : x
  2. Step 2: Convert to fraction form
    253,257.92/379,904.88 = 75,750.56/x
  3. Step 3: Cross multiply
    253,257.92x = 379,904.88 × 75,750.56
  4. Step 4: Simplify right side
    253,257.92x = 28,778,007,406.73
  5. Step 5: Solve for x
    x = 28,778,007,406.73/253,257.92
  6. Step 6: Final answer
    x = 113,631.22

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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.