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Finding the Fourth Proportional to 269,150.80, 403,726.20 and 194,501.20

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Solution

The fourth proportional to 269,150.80, 403,726.20 and 194,501.20 is: 291,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,150.80 : 403,726.20 = 194,501.20 : x
  2. Step 2: Convert to fraction form
    269,150.80/403,726.20 = 194,501.20/x
  3. Step 3: Cross multiply
    269,150.80x = 403,726.20 × 194,501.20
  4. Step 4: Simplify right side
    269,150.80x = 78,525,230,371.44
  5. Step 5: Solve for x
    x = 78,525,230,371.44/269,150.80
  6. Step 6: Final answer
    x = 291,751.80

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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.