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Finding the Fourth Proportional to 223,266.40, 334,861.20 and 82,952.80

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Solution

The fourth proportional to 223,266.40, 334,861.20 and 82,952.80 is: 124,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,266.40 : 334,861.20 = 82,952.80 : x
  2. Step 2: Convert to fraction form
    223,266.40/334,861.20 = 82,952.80/x
  3. Step 3: Cross multiply
    223,266.40x = 334,861.20 × 82,952.80
  4. Step 4: Simplify right side
    223,266.40x = 27,777,674,151.36
  5. Step 5: Solve for x
    x = 27,777,674,151.36/223,266.40
  6. Step 6: Final answer
    x = 124,414.93

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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.