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Finding the Fourth Proportional to 204,527.80, 306,791.70 and 141,542.20

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Solution

The fourth proportional to 204,527.80, 306,791.70 and 141,542.20 is: 212,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,527.80 : 306,791.70 = 141,542.20 : x
  2. Step 2: Convert to fraction form
    204,527.80/306,791.70 = 141,542.20/x
  3. Step 3: Cross multiply
    204,527.80x = 306,791.70 × 141,542.20
  4. Step 4: Simplify right side
    204,527.80x = 43,423,972,159.74
  5. Step 5: Solve for x
    x = 43,423,972,159.74/204,527.80
  6. Step 6: Final answer
    x = 212,313.30

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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.