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Finding the Fourth Proportional to 269,197.83, 371,509.29 and 148,338.90

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Solution

The fourth proportional to 269,197.83, 371,509.29 and 148,338.90 is: 204,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,197.83 : 371,509.29 = 148,338.90 : x
  2. Step 2: Convert to fraction form
    269,197.83/371,509.29 = 148,338.90/x
  3. Step 3: Cross multiply
    269,197.83x = 371,509.29 × 148,338.90
  4. Step 4: Simplify right side
    269,197.83x = 55,109,279,418.38
  5. Step 5: Solve for x
    x = 55,109,279,418.38/269,197.83
  6. Step 6: Final answer
    x = 204,716.66

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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.