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Finding the Fourth Proportional to 161,609.60, 223,052.40 and 97,982.24

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Solution

The fourth proportional to 161,609.60, 223,052.40 and 97,982.24 is: 135,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,609.60 : 223,052.40 = 97,982.24 : x
  2. Step 2: Convert to fraction form
    161,609.60/223,052.40 = 97,982.24/x
  3. Step 3: Cross multiply
    161,609.60x = 223,052.40 × 97,982.24
  4. Step 4: Simplify right side
    161,609.60x = 21,855,173,789.38
  5. Step 5: Solve for x
    x = 21,855,173,789.38/161,609.60
  6. Step 6: Final answer
    x = 135,234.38

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Why These Related Problems?

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