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Finding the Fourth Proportional to 165,159.60, 228,014.82 and 108,735

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Solution

The fourth proportional to 165,159.60, 228,014.82 and 108,735 is: 150,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,159.60 : 228,014.82 = 108,735 : x
  2. Step 2: Convert to fraction form
    165,159.60/228,014.82 = 108,735/x
  3. Step 3: Cross multiply
    165,159.60x = 228,014.82 × 108,735
  4. Step 4: Simplify right side
    165,159.60x = 24,793,191,452.70
  5. Step 5: Solve for x
    x = 24,793,191,452.70/165,159.60
  6. Step 6: Final answer
    x = 150,116.56

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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.