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Finding the Fourth Proportional to 117,661, 176,294.94 and 73,177.96

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Solution

The fourth proportional to 117,661, 176,294.94 and 73,177.96 is: 109,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,661 : 176,294.94 = 73,177.96 : x
  2. Step 2: Convert to fraction form
    117,661/176,294.94 = 73,177.96/x
  3. Step 3: Cross multiply
    117,661x = 176,294.94 × 73,177.96
  4. Step 4: Simplify right side
    117,661x = 12,900,904,067.52
  5. Step 5: Solve for x
    x = 12,900,904,067.52/117,661
  6. Step 6: Final answer
    x = 109,644.69

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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.