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Finding the Fourth Proportional to 232,982.80, 349,522.80 and 133,061.20

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Solution

The fourth proportional to 232,982.80, 349,522.80 and 133,061.20 is: 199,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,982.80 : 349,522.80 = 133,061.20 : x
  2. Step 2: Convert to fraction form
    232,982.80/349,522.80 = 133,061.20/x
  3. Step 3: Cross multiply
    232,982.80x = 349,522.80 × 133,061.20
  4. Step 4: Simplify right side
    232,982.80x = 46,507,923,195.36
  5. Step 5: Solve for x
    x = 46,507,923,195.36/232,982.80
  6. Step 6: Final answer
    x = 199,619.56

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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.