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Finding the Fourth Proportional to 182,869.57, 274,055.10 and 111,817

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Solution

The fourth proportional to 182,869.57, 274,055.10 and 111,817 is: 167,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,869.57 : 274,055.10 = 111,817 : x
  2. Step 2: Convert to fraction form
    182,869.57/274,055.10 = 111,817/x
  3. Step 3: Cross multiply
    182,869.57x = 274,055.10 × 111,817
  4. Step 4: Simplify right side
    182,869.57x = 30,644,019,116.70
  5. Step 5: Solve for x
    x = 30,644,019,116.70/182,869.57
  6. Step 6: Final answer
    x = 167,573.09

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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.