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Finding the Fourth Proportional to 269,451.85, 371,846.15 and 148,597.42

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Solution

The fourth proportional to 269,451.85, 371,846.15 and 148,597.42 is: 205,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,451.85 : 371,846.15 = 148,597.42 : x
  2. Step 2: Convert to fraction form
    269,451.85/371,846.15 = 148,597.42/x
  3. Step 3: Cross multiply
    269,451.85x = 371,846.15 × 148,597.42
  4. Step 4: Simplify right side
    269,451.85x = 55,255,378,526.93
  5. Step 5: Solve for x
    x = 55,255,378,526.93/269,451.85
  6. Step 6: Final answer
    x = 205,065.87

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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.