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Finding the Fourth Proportional to 165,185.60, 227,956.40 and 89,734.16

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Solution

The fourth proportional to 165,185.60, 227,956.40 and 89,734.16 is: 123,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,185.60 : 227,956.40 = 89,734.16 : x
  2. Step 2: Convert to fraction form
    165,185.60/227,956.40 = 89,734.16/x
  3. Step 3: Cross multiply
    165,185.60x = 227,956.40 × 89,734.16
  4. Step 4: Simplify right side
    165,185.60x = 20,455,476,070.62
  5. Step 5: Solve for x
    x = 20,455,476,070.62/165,185.60
  6. Step 6: Final answer
    x = 123,833.29

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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.