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Finding the Fourth Proportional to 119,934.50, 165,524.20 and 69,633.50

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Solution

The fourth proportional to 119,934.50, 165,524.20 and 69,633.50 is: 96,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,934.50 : 165,524.20 = 69,633.50 : x
  2. Step 2: Convert to fraction form
    119,934.50/165,524.20 = 69,633.50/x
  3. Step 3: Cross multiply
    119,934.50x = 165,524.20 × 69,633.50
  4. Step 4: Simplify right side
    119,934.50x = 11,526,029,380.70
  5. Step 5: Solve for x
    x = 11,526,029,380.70/119,934.50
  6. Step 6: Final answer
    x = 96,102.70

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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.