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Finding the Fourth Proportional to 137,230.44, 206,081.24 and 84,233.63

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Solution

The fourth proportional to 137,230.44, 206,081.24 and 84,233.63 is: 126,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,230.44 : 206,081.24 = 84,233.63 : x
  2. Step 2: Convert to fraction form
    137,230.44/206,081.24 = 84,233.63/x
  3. Step 3: Cross multiply
    137,230.44x = 206,081.24 × 84,233.63
  4. Step 4: Simplify right side
    137,230.44x = 17,358,969,468.53
  5. Step 5: Solve for x
    x = 17,358,969,468.53/137,230.44
  6. Step 6: Final answer
    x = 126,495.04

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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.