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Finding the Fourth Proportional to 106,466.38, 159,367.39 and 78,418.10

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Solution

The fourth proportional to 106,466.38, 159,367.39 and 78,418.10 is: 117,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,466.38 : 159,367.39 = 78,418.10 : x
  2. Step 2: Convert to fraction form
    106,466.38/159,367.39 = 78,418.10/x
  3. Step 3: Cross multiply
    106,466.38x = 159,367.39 × 78,418.10
  4. Step 4: Simplify right side
    106,466.38x = 12,497,288,128.13
  5. Step 5: Solve for x
    x = 12,497,288,128.13/106,466.38
  6. Step 6: Final answer
    x = 117,382.49

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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.