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Finding the Fourth Proportional to 165,344.40, 227,964 and 107,098.32

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Solution

The fourth proportional to 165,344.40, 227,964 and 107,098.32 is: 147,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,344.40 : 227,964 = 107,098.32 : x
  2. Step 2: Convert to fraction form
    165,344.40/227,964 = 107,098.32/x
  3. Step 3: Cross multiply
    165,344.40x = 227,964 × 107,098.32
  4. Step 4: Simplify right side
    165,344.40x = 24,414,561,420.48
  5. Step 5: Solve for x
    x = 24,414,561,420.48/165,344.40
  6. Step 6: Final answer
    x = 147,658.83

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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.