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Finding the Fourth Proportional to 268,715.45, 402,741 and 135,633.66

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Solution

The fourth proportional to 268,715.45, 402,741 and 135,633.66 is: 203,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,715.45 : 402,741 = 135,633.66 : x
  2. Step 2: Convert to fraction form
    268,715.45/402,741 = 135,633.66/x
  3. Step 3: Cross multiply
    268,715.45x = 402,741 × 135,633.66
  4. Step 4: Simplify right side
    268,715.45x = 54,625,235,862.06
  5. Step 5: Solve for x
    x = 54,625,235,862.06/268,715.45
  6. Step 6: Final answer
    x = 203,282.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.