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Finding the Fourth Proportional to 222,729.80, 333,122.70 and 199,207.40

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Solution

The fourth proportional to 222,729.80, 333,122.70 and 199,207.40 is: 297,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,729.80 : 333,122.70 = 199,207.40 : x
  2. Step 2: Convert to fraction form
    222,729.80/333,122.70 = 199,207.40/x
  3. Step 3: Cross multiply
    222,729.80x = 333,122.70 × 199,207.40
  4. Step 4: Simplify right side
    222,729.80x = 66,360,506,947.98
  5. Step 5: Solve for x
    x = 66,360,506,947.98/222,729.80
  6. Step 6: Final answer
    x = 297,941.75

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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.