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Finding the Fourth Proportional to 137,521.62, 189,780.53 and 80,200.70

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Solution

The fourth proportional to 137,521.62, 189,780.53 and 80,200.70 is: 110,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,521.62 : 189,780.53 = 80,200.70 : x
  2. Step 2: Convert to fraction form
    137,521.62/189,780.53 = 80,200.70/x
  3. Step 3: Cross multiply
    137,521.62x = 189,780.53 × 80,200.70
  4. Step 4: Simplify right side
    137,521.62x = 15,220,530,714.14
  5. Step 5: Solve for x
    x = 15,220,530,714.14/137,521.62
  6. Step 6: Final answer
    x = 110,677.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.