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Finding the Fourth Proportional to 285,257.84, 427,861.26 and 85,622.80

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Solution

The fourth proportional to 285,257.84, 427,861.26 and 85,622.80 is: 128,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,257.84 : 427,861.26 = 85,622.80 : x
  2. Step 2: Convert to fraction form
    285,257.84/427,861.26 = 85,622.80/x
  3. Step 3: Cross multiply
    285,257.84x = 427,861.26 × 85,622.80
  4. Step 4: Simplify right side
    285,257.84x = 36,634,679,092.73
  5. Step 5: Solve for x
    x = 36,634,679,092.73/285,257.84
  6. Step 6: Final answer
    x = 128,426.55

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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.