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Finding the Fourth Proportional to 177,906.92, 245,591.80 and 113,462.71

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Solution

The fourth proportional to 177,906.92, 245,591.80 and 113,462.71 is: 156,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,906.92 : 245,591.80 = 113,462.71 : x
  2. Step 2: Convert to fraction form
    177,906.92/245,591.80 = 113,462.71/x
  3. Step 3: Cross multiply
    177,906.92x = 245,591.80 × 113,462.71
  4. Step 4: Simplify right side
    177,906.92x = 27,865,510,284.14
  5. Step 5: Solve for x
    x = 27,865,510,284.14/177,906.92
  6. Step 6: Final answer
    x = 156,629.72

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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.