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Finding the Fourth Proportional to 119,817.38, 165,347.52 and 66,105.74

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Solution

The fourth proportional to 119,817.38, 165,347.52 and 66,105.74 is: 91,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,817.38 : 165,347.52 = 66,105.74 : x
  2. Step 2: Convert to fraction form
    119,817.38/165,347.52 = 66,105.74/x
  3. Step 3: Cross multiply
    119,817.38x = 165,347.52 × 66,105.74
  4. Step 4: Simplify right side
    119,817.38x = 10,930,420,166.76
  5. Step 5: Solve for x
    x = 10,930,420,166.76/119,817.38
  6. Step 6: Final answer
    x = 91,225.66

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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.