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Finding the Fourth Proportional to 106,384.40, 159,452.04 and 68,385.20

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Solution

The fourth proportional to 106,384.40, 159,452.04 and 68,385.20 is: 102,497.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384.40 : 159,452.04 = 68,385.20 : x
  2. Step 2: Convert to fraction form
    106,384.40/159,452.04 = 68,385.20/x
  3. Step 3: Cross multiply
    106,384.40x = 159,452.04 × 68,385.20
  4. Step 4: Simplify right side
    106,384.40x = 10,904,159,645.81
  5. Step 5: Solve for x
    x = 10,904,159,645.81/106,384.40
  6. Step 6: Final answer
    x = 102,497.73

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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.