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Finding the Fourth Proportional to 165,367, 228,204.88 and 89,915.52

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Solution

The fourth proportional to 165,367, 228,204.88 and 89,915.52 is: 124,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,367 : 228,204.88 = 89,915.52 : x
  2. Step 2: Convert to fraction form
    165,367/228,204.88 = 89,915.52/x
  3. Step 3: Cross multiply
    165,367x = 228,204.88 × 89,915.52
  4. Step 4: Simplify right side
    165,367x = 20,519,160,451.74
  5. Step 5: Solve for x
    x = 20,519,160,451.74/165,367
  6. Step 6: Final answer
    x = 124,082.56

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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.