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Finding the Fourth Proportional to 215,542.80, 323,314.20 and 189,298.80

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Solution

The fourth proportional to 215,542.80, 323,314.20 and 189,298.80 is: 283,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,542.80 : 323,314.20 = 189,298.80 : x
  2. Step 2: Convert to fraction form
    215,542.80/323,314.20 = 189,298.80/x
  3. Step 3: Cross multiply
    215,542.80x = 323,314.20 × 189,298.80
  4. Step 4: Simplify right side
    215,542.80x = 61,202,990,082.96
  5. Step 5: Solve for x
    x = 61,202,990,082.96/215,542.80
  6. Step 6: Final answer
    x = 283,948.20

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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.