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Finding the Fourth Proportional to 239,342.46, 359,046.50 and 106,219.78

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Solution

The fourth proportional to 239,342.46, 359,046.50 and 106,219.78 is: 159,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,342.46 : 359,046.50 = 106,219.78 : x
  2. Step 2: Convert to fraction form
    239,342.46/359,046.50 = 106,219.78/x
  3. Step 3: Cross multiply
    239,342.46x = 359,046.50 × 106,219.78
  4. Step 4: Simplify right side
    239,342.46x = 38,137,840,239.77
  5. Step 5: Solve for x
    x = 38,137,840,239.77/239,342.46
  6. Step 6: Final answer
    x = 159,344.23

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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.