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Finding the Fourth Proportional to 230,488.14, 345,652.22 and 80,725.10

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Solution

The fourth proportional to 230,488.14, 345,652.22 and 80,725.10 is: 121,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,488.14 : 345,652.22 = 80,725.10 : x
  2. Step 2: Convert to fraction form
    230,488.14/345,652.22 = 80,725.10/x
  3. Step 3: Cross multiply
    230,488.14x = 345,652.22 × 80,725.10
  4. Step 4: Simplify right side
    230,488.14x = 27,902,810,024.72
  5. Step 5: Solve for x
    x = 27,902,810,024.72/230,488.14
  6. Step 6: Final answer
    x = 121,059.63

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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.