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Finding the Fourth Proportional to 119,901.86, 165,425.27 and 85,452.02

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Solution

The fourth proportional to 119,901.86, 165,425.27 and 85,452.02 is: 117,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,901.86 : 165,425.27 = 85,452.02 : x
  2. Step 2: Convert to fraction form
    119,901.86/165,425.27 = 85,452.02/x
  3. Step 3: Cross multiply
    119,901.86x = 165,425.27 × 85,452.02
  4. Step 4: Simplify right side
    119,901.86x = 14,135,923,480.55
  5. Step 5: Solve for x
    x = 14,135,923,480.55/119,901.86
  6. Step 6: Final answer
    x = 117,895.78

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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.