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Finding the Fourth Proportional to 269,194.20, 403,305.30 and 156,782.40

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Solution

The fourth proportional to 269,194.20, 403,305.30 and 156,782.40 is: 234,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194.20 : 403,305.30 = 156,782.40 : x
  2. Step 2: Convert to fraction form
    269,194.20/403,305.30 = 156,782.40/x
  3. Step 3: Cross multiply
    269,194.20x = 403,305.30 × 156,782.40
  4. Step 4: Simplify right side
    269,194.20x = 63,231,172,866.72
  5. Step 5: Solve for x
    x = 63,231,172,866.72/269,194.20
  6. Step 6: Final answer
    x = 234,890.55

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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.