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Finding the Fourth Proportional to 205,838.40, 308,757.60 and 201,691.20

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Solution

The fourth proportional to 205,838.40, 308,757.60 and 201,691.20 is: 302,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,838.40 : 308,757.60 = 201,691.20 : x
  2. Step 2: Convert to fraction form
    205,838.40/308,757.60 = 201,691.20/x
  3. Step 3: Cross multiply
    205,838.40x = 308,757.60 × 201,691.20
  4. Step 4: Simplify right side
    205,838.40x = 62,273,690,853.12
  5. Step 5: Solve for x
    x = 62,273,690,853.12/205,838.40
  6. Step 6: Final answer
    x = 302,536.80

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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.