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Finding the Fourth Proportional to 204,596.80, 307,551.30 and 145,839.40

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Solution

The fourth proportional to 204,596.80, 307,551.30 and 145,839.40 is: 219,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,596.80 : 307,551.30 = 145,839.40 : x
  2. Step 2: Convert to fraction form
    204,596.80/307,551.30 = 145,839.40/x
  3. Step 3: Cross multiply
    204,596.80x = 307,551.30 × 145,839.40
  4. Step 4: Simplify right side
    204,596.80x = 44,853,097,061.22
  5. Step 5: Solve for x
    x = 44,853,097,061.22/204,596.80
  6. Step 6: Final answer
    x = 219,226.78

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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.