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Finding the Fourth Proportional to 137,224.20, 205,836.30 and 78,175.20

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Solution

The fourth proportional to 137,224.20, 205,836.30 and 78,175.20 is: 117,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,224.20 : 205,836.30 = 78,175.20 : x
  2. Step 2: Convert to fraction form
    137,224.20/205,836.30 = 78,175.20/x
  3. Step 3: Cross multiply
    137,224.20x = 205,836.30 × 78,175.20
  4. Step 4: Simplify right side
    137,224.20x = 16,091,293,919.76
  5. Step 5: Solve for x
    x = 16,091,293,919.76/137,224.20
  6. Step 6: Final answer
    x = 117,262.80

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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.