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Finding the Fourth Proportional to 119,830.38, 165,365.46 and 66,118.74

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Solution

The fourth proportional to 119,830.38, 165,365.46 and 66,118.74 is: 91,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,830.38 : 165,365.46 = 66,118.74 : x
  2. Step 2: Convert to fraction form
    119,830.38/165,365.46 = 66,118.74/x
  3. Step 3: Cross multiply
    119,830.38x = 165,365.46 × 66,118.74
  4. Step 4: Simplify right side
    119,830.38x = 10,933,755,854.72
  5. Step 5: Solve for x
    x = 10,933,755,854.72/119,830.38
  6. Step 6: Final answer
    x = 91,243.60

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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.