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Finding the Fourth Proportional to 119,902.14, 165,464.04 and 66,187.14

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Solution

The fourth proportional to 119,902.14, 165,464.04 and 66,187.14 is: 91,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,902.14 : 165,464.04 = 66,187.14 : x
  2. Step 2: Convert to fraction form
    119,902.14/165,464.04 = 66,187.14/x
  3. Step 3: Cross multiply
    119,902.14x = 165,464.04 × 66,187.14
  4. Step 4: Simplify right side
    119,902.14x = 10,951,591,580.45
  5. Step 5: Solve for x
    x = 10,951,591,580.45/119,902.14
  6. Step 6: Final answer
    x = 91,337.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.