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Finding the Fourth Proportional to 252,196.80, 377,834.40 and 205,195.20

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Solution

The fourth proportional to 252,196.80, 377,834.40 and 205,195.20 is: 307,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,196.80 : 377,834.40 = 205,195.20 : x
  2. Step 2: Convert to fraction form
    252,196.80/377,834.40 = 205,195.20/x
  3. Step 3: Cross multiply
    252,196.80x = 377,834.40 × 205,195.20
  4. Step 4: Simplify right side
    252,196.80x = 77,529,805,274.88
  5. Step 5: Solve for x
    x = 77,529,805,274.88/252,196.80
  6. Step 6: Final answer
    x = 307,417.88

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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.