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Finding the Fourth Proportional to 278,883.84, 418,322.07 and 68,523.60

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Solution

The fourth proportional to 278,883.84, 418,322.07 and 68,523.60 is: 102,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,883.84 : 418,322.07 = 68,523.60 : x
  2. Step 2: Convert to fraction form
    278,883.84/418,322.07 = 68,523.60/x
  3. Step 3: Cross multiply
    278,883.84x = 418,322.07 × 68,523.60
  4. Step 4: Simplify right side
    278,883.84x = 28,664,934,195.85
  5. Step 5: Solve for x
    x = 28,664,934,195.85/278,883.84
  6. Step 6: Final answer
    x = 102,784.49

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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.