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Finding the Fourth Proportional to 165,109, 227,853.26 and 89,657.50

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Solution

The fourth proportional to 165,109, 227,853.26 and 89,657.50 is: 123,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,109 : 227,853.26 = 89,657.50 : x
  2. Step 2: Convert to fraction form
    165,109/227,853.26 = 89,657.50/x
  3. Step 3: Cross multiply
    165,109x = 227,853.26 × 89,657.50
  4. Step 4: Simplify right side
    165,109x = 20,428,753,658.45
  5. Step 5: Solve for x
    x = 20,428,753,658.45/165,109
  6. Step 6: Final answer
    x = 123,728.89

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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.