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Finding the Fourth Proportional to 165,392.52, 228,241.92 and 89,941

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Solution

The fourth proportional to 165,392.52, 228,241.92 and 89,941 is: 124,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,392.52 : 228,241.92 = 89,941 : x
  2. Step 2: Convert to fraction form
    165,392.52/228,241.92 = 89,941/x
  3. Step 3: Cross multiply
    165,392.52x = 228,241.92 × 89,941
  4. Step 4: Simplify right side
    165,392.52x = 20,528,306,526.72
  5. Step 5: Solve for x
    x = 20,528,306,526.72/165,392.52
  6. Step 6: Final answer
    x = 124,118.71

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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.