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Finding the Fourth Proportional to 165,589.20, 228,535.56 and 98,514

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Solution

The fourth proportional to 165,589.20, 228,535.56 and 98,514 is: 135,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,589.20 : 228,535.56 = 98,514 : x
  2. Step 2: Convert to fraction form
    165,589.20/228,535.56 = 98,514/x
  3. Step 3: Cross multiply
    165,589.20x = 228,535.56 × 98,514
  4. Step 4: Simplify right side
    165,589.20x = 22,513,952,157.84
  5. Step 5: Solve for x
    x = 22,513,952,157.84/165,589.20
  6. Step 6: Final answer
    x = 135,962.68

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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.