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Finding the Fourth Proportional to 106,471.65, 159,818.22 and 78,423.36

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Solution

The fourth proportional to 106,471.65, 159,818.22 and 78,423.36 is: 117,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,471.65 : 159,818.22 = 78,423.36 : x
  2. Step 2: Convert to fraction form
    106,471.65/159,818.22 = 78,423.36/x
  3. Step 3: Cross multiply
    106,471.65x = 159,818.22 × 78,423.36
  4. Step 4: Simplify right side
    106,471.65x = 12,533,481,801.62
  5. Step 5: Solve for x
    x = 12,533,481,801.62/106,471.65
  6. Step 6: Final answer
    x = 117,716.61

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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.