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Finding the Fourth Proportional to 119,732.76, 165,218.56 and 66,014.59

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Solution

The fourth proportional to 119,732.76, 165,218.56 and 66,014.59 is: 91,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,732.76 : 165,218.56 = 66,014.59 : x
  2. Step 2: Convert to fraction form
    119,732.76/165,218.56 = 66,014.59/x
  3. Step 3: Cross multiply
    119,732.76x = 165,218.56 × 66,014.59
  4. Step 4: Simplify right side
    119,732.76x = 10,906,835,498.79
  5. Step 5: Solve for x
    x = 10,906,835,498.79/119,732.76
  6. Step 6: Final answer
    x = 91,093.16

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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.