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Finding the Fourth Proportional to 160,966.20, 241,449.30 and 82,234.20

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Solution

The fourth proportional to 160,966.20, 241,449.30 and 82,234.20 is: 123,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,966.20 : 241,449.30 = 82,234.20 : x
  2. Step 2: Convert to fraction form
    160,966.20/241,449.30 = 82,234.20/x
  3. Step 3: Cross multiply
    160,966.20x = 241,449.30 × 82,234.20
  4. Step 4: Simplify right side
    160,966.20x = 19,855,390,026.06
  5. Step 5: Solve for x
    x = 19,855,390,026.06/160,966.20
  6. Step 6: Final answer
    x = 123,351.30

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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.