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Finding the Fourth Proportional to 222,747.80, 333,149.70 and 199,225.40

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Solution

The fourth proportional to 222,747.80, 333,149.70 and 199,225.40 is: 297,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,747.80 : 333,149.70 = 199,225.40 : x
  2. Step 2: Convert to fraction form
    222,747.80/333,149.70 = 199,225.40/x
  3. Step 3: Cross multiply
    222,747.80x = 333,149.70 × 199,225.40
  4. Step 4: Simplify right side
    222,747.80x = 66,371,882,242.38
  5. Step 5: Solve for x
    x = 66,371,882,242.38/222,747.80
  6. Step 6: Final answer
    x = 297,968.74

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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.