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Finding the Fourth Proportional to 165,241, 228,032.12 and 89,789.48

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Solution

The fourth proportional to 165,241, 228,032.12 and 89,789.48 is: 123,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,241 : 228,032.12 = 89,789.48 : x
  2. Step 2: Convert to fraction form
    165,241/228,032.12 = 89,789.48/x
  3. Step 3: Cross multiply
    165,241x = 228,032.12 × 89,789.48
  4. Step 4: Simplify right side
    165,241x = 20,474,885,478.10
  5. Step 5: Solve for x
    x = 20,474,885,478.10/165,241
  6. Step 6: Final answer
    x = 123,909.23

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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.