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Finding the Fourth Proportional to 269,582.40, 404,227.80 and 111,826.80

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Solution

The fourth proportional to 269,582.40, 404,227.80 and 111,826.80 is: 167,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,582.40 : 404,227.80 = 111,826.80 : x
  2. Step 2: Convert to fraction form
    269,582.40/404,227.80 = 111,826.80/x
  3. Step 3: Cross multiply
    269,582.40x = 404,227.80 × 111,826.80
  4. Step 4: Simplify right side
    269,582.40x = 45,203,501,345.04
  5. Step 5: Solve for x
    x = 45,203,501,345.04/269,582.40
  6. Step 6: Final answer
    x = 167,679.72

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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.