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Finding the Fourth Proportional to 119,742.66, 165,241.34 and 66,027.66

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Solution

The fourth proportional to 119,742.66, 165,241.34 and 66,027.66 is: 91,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,742.66 : 165,241.34 = 66,027.66 : x
  2. Step 2: Convert to fraction form
    119,742.66/165,241.34 = 66,027.66/x
  3. Step 3: Cross multiply
    119,742.66x = 165,241.34 × 66,027.66
  4. Step 4: Simplify right side
    119,742.66x = 10,910,499,015.46
  5. Step 5: Solve for x
    x = 10,910,499,015.46/119,742.66
  6. Step 6: Final answer
    x = 91,116.22

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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.