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Finding the Fourth Proportional to 119,905.82, 165,471.19 and 66,189.68

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Solution

The fourth proportional to 119,905.82, 165,471.19 and 66,189.68 is: 91,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,905.82 : 165,471.19 = 66,189.68 : x
  2. Step 2: Convert to fraction form
    119,905.82/165,471.19 = 66,189.68/x
  3. Step 3: Cross multiply
    119,905.82x = 165,471.19 × 66,189.68
  4. Step 4: Simplify right side
    119,905.82x = 10,952,484,287.96
  5. Step 5: Solve for x
    x = 10,952,484,287.96/119,905.82
  6. Step 6: Final answer
    x = 91,342.39

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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.