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Finding the Fourth Proportional to 106,252.20, 159,384.06 and 39,709.80

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Solution

The fourth proportional to 106,252.20, 159,384.06 and 39,709.80 is: 59,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,252.20 : 159,384.06 = 39,709.80 : x
  2. Step 2: Convert to fraction form
    106,252.20/159,384.06 = 39,709.80/x
  3. Step 3: Cross multiply
    106,252.20x = 159,384.06 × 39,709.80
  4. Step 4: Simplify right side
    106,252.20x = 6,329,109,145.79
  5. Step 5: Solve for x
    x = 6,329,109,145.79/106,252.20
  6. Step 6: Final answer
    x = 59,566.85

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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.