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Finding the Fourth Proportional to 179,211.24, 268,855.74 and 54,549

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Solution

The fourth proportional to 179,211.24, 268,855.74 and 54,549 is: 81,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,211.24 : 268,855.74 = 54,549 : x
  2. Step 2: Convert to fraction form
    179,211.24/268,855.74 = 54,549/x
  3. Step 3: Cross multiply
    179,211.24x = 268,855.74 × 54,549
  4. Step 4: Simplify right side
    179,211.24x = 14,665,811,761.26
  5. Step 5: Solve for x
    x = 14,665,811,761.26/179,211.24
  6. Step 6: Final answer
    x = 81,835.33

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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.