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Finding the Fourth Proportional to 161,049.60, 241,768.80 and 159,883.20

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Solution

The fourth proportional to 161,049.60, 241,768.80 and 159,883.20 is: 240,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,049.60 : 241,768.80 = 159,883.20 : x
  2. Step 2: Convert to fraction form
    161,049.60/241,768.80 = 159,883.20/x
  3. Step 3: Cross multiply
    161,049.60x = 241,768.80 × 159,883.20
  4. Step 4: Simplify right side
    161,049.60x = 38,654,769,404.16
  5. Step 5: Solve for x
    x = 38,654,769,404.16/161,049.60
  6. Step 6: Final answer
    x = 240,017.79

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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.