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Finding the Fourth Proportional to 269,801.70, 404,378.55 and 111,948.90

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Solution

The fourth proportional to 269,801.70, 404,378.55 and 111,948.90 is: 167,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,801.70 : 404,378.55 = 111,948.90 : x
  2. Step 2: Convert to fraction form
    269,801.70/404,378.55 = 111,948.90/x
  3. Step 3: Cross multiply
    269,801.70x = 404,378.55 × 111,948.90
  4. Step 4: Simplify right side
    269,801.70x = 45,269,733,856.10
  5. Step 5: Solve for x
    x = 45,269,733,856.10/269,801.70
  6. Step 6: Final answer
    x = 167,788.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.