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Finding the Fourth Proportional to 219,156.30, 328,498.34 and 106,912.17

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Solution

The fourth proportional to 219,156.30, 328,498.34 and 106,912.17 is: 160,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,156.30 : 328,498.34 = 106,912.17 : x
  2. Step 2: Convert to fraction form
    219,156.30/328,498.34 = 106,912.17/x
  3. Step 3: Cross multiply
    219,156.30x = 328,498.34 × 106,912.17
  4. Step 4: Simplify right side
    219,156.30x = 35,120,469,836.24
  5. Step 5: Solve for x
    x = 35,120,469,836.24/219,156.30
  6. Step 6: Final answer
    x = 160,253.07

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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.