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Finding the Fourth Proportional to 217,414.30, 326,118.20 and 75,362.98

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Solution

The fourth proportional to 217,414.30, 326,118.20 and 75,362.98 is: 113,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,414.30 : 326,118.20 = 75,362.98 : x
  2. Step 2: Convert to fraction form
    217,414.30/326,118.20 = 75,362.98/x
  3. Step 3: Cross multiply
    217,414.30x = 326,118.20 × 75,362.98
  4. Step 4: Simplify right side
    217,414.30x = 24,577,239,384.24
  5. Step 5: Solve for x
    x = 24,577,239,384.24/217,414.30
  6. Step 6: Final answer
    x = 113,043.34

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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.