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Finding the Fourth Proportional to 200,433.80, 299,082.25 and 199,267.40

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Solution

The fourth proportional to 200,433.80, 299,082.25 and 199,267.40 is: 297,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433.80 : 299,082.25 = 199,267.40 : x
  2. Step 2: Convert to fraction form
    200,433.80/299,082.25 = 199,267.40/x
  3. Step 3: Cross multiply
    200,433.80x = 299,082.25 × 199,267.40
  4. Step 4: Simplify right side
    200,433.80x = 59,597,342,343.65
  5. Step 5: Solve for x
    x = 59,597,342,343.65/200,433.80
  6. Step 6: Final answer
    x = 297,341.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.