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Finding the Fourth Proportional to 165,141.60, 227,377.44 and 145,740.48

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Solution

The fourth proportional to 165,141.60, 227,377.44 and 145,740.48 is: 200,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,141.60 : 227,377.44 = 145,740.48 : x
  2. Step 2: Convert to fraction form
    165,141.60/227,377.44 = 145,740.48/x
  3. Step 3: Cross multiply
    165,141.60x = 227,377.44 × 145,740.48
  4. Step 4: Simplify right side
    165,141.60x = 33,138,097,246.77
  5. Step 5: Solve for x
    x = 33,138,097,246.77/165,141.60
  6. Step 6: Final answer
    x = 200,664.75

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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.