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Finding the Fourth Proportional to 165,414.60, 228,265.56 and 89,963.16

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Solution

The fourth proportional to 165,414.60, 228,265.56 and 89,963.16 is: 124,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,414.60 : 228,265.56 = 89,963.16 : x
  2. Step 2: Convert to fraction form
    165,414.60/228,265.56 = 89,963.16/x
  3. Step 3: Cross multiply
    165,414.60x = 228,265.56 × 89,963.16
  4. Step 4: Simplify right side
    165,414.60x = 20,535,491,096.77
  5. Step 5: Solve for x
    x = 20,535,491,096.77/165,414.60
  6. Step 6: Final answer
    x = 124,145.58

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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.