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Finding the Fourth Proportional to 138,884.52, 208,336.56 and 55,778.52

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Solution

The fourth proportional to 138,884.52, 208,336.56 and 55,778.52 is: 83,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,884.52 : 208,336.56 = 55,778.52 : x
  2. Step 2: Convert to fraction form
    138,884.52/208,336.56 = 55,778.52/x
  3. Step 3: Cross multiply
    138,884.52x = 208,336.56 × 55,778.52
  4. Step 4: Simplify right side
    138,884.52x = 11,620,704,978.69
  5. Step 5: Solve for x
    x = 11,620,704,978.69/138,884.52
  6. Step 6: Final answer
    x = 83,671.71

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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.