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Finding the Fourth Proportional to 165,116.40, 227,856 and 93,503.20

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Solution

The fourth proportional to 165,116.40, 227,856 and 93,503.20 is: 129,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,116.40 : 227,856 = 93,503.20 : x
  2. Step 2: Convert to fraction form
    165,116.40/227,856 = 93,503.20/x
  3. Step 3: Cross multiply
    165,116.40x = 227,856 × 93,503.20
  4. Step 4: Simplify right side
    165,116.40x = 21,305,265,139.20
  5. Step 5: Solve for x
    x = 21,305,265,139.20/165,116.40
  6. Step 6: Final answer
    x = 129,031.79

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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.