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Finding the Fourth Proportional to 137,245.92, 205,902.18 and 43,751.58

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Solution

The fourth proportional to 137,245.92, 205,902.18 and 43,751.58 is: 65,637.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,245.92 : 205,902.18 = 43,751.58 : x
  2. Step 2: Convert to fraction form
    137,245.92/205,902.18 = 43,751.58/x
  3. Step 3: Cross multiply
    137,245.92x = 205,902.18 × 43,751.58
  4. Step 4: Simplify right side
    137,245.92x = 9,008,545,700.44
  5. Step 5: Solve for x
    x = 9,008,545,700.44/137,245.92
  6. Step 6: Final answer
    x = 65,637.99

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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.