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Finding the Fourth Proportional to 202,960.80, 304,441.20 and 109,648.80

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Solution

The fourth proportional to 202,960.80, 304,441.20 and 109,648.80 is: 164,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,960.80 : 304,441.20 = 109,648.80 : x
  2. Step 2: Convert to fraction form
    202,960.80/304,441.20 = 109,648.80/x
  3. Step 3: Cross multiply
    202,960.80x = 304,441.20 × 109,648.80
  4. Step 4: Simplify right side
    202,960.80x = 33,381,612,250.56
  5. Step 5: Solve for x
    x = 33,381,612,250.56/202,960.80
  6. Step 6: Final answer
    x = 164,473.20

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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.