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Finding the Fourth Proportional to 269,218.72, 371,524.32 and 148,364.38

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Solution

The fourth proportional to 269,218.72, 371,524.32 and 148,364.38 is: 204,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218.72 : 371,524.32 = 148,364.38 : x
  2. Step 2: Convert to fraction form
    269,218.72/371,524.32 = 148,364.38/x
  3. Step 3: Cross multiply
    269,218.72x = 371,524.32 × 148,364.38
  4. Step 4: Simplify right side
    269,218.72x = 55,120,975,391.72
  5. Step 5: Solve for x
    x = 55,120,975,391.72/269,218.72
  6. Step 6: Final answer
    x = 204,744.21

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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.