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Finding the Fourth Proportional to 106,592.44, 159,736.10 and 78,290.50

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Solution

The fourth proportional to 106,592.44, 159,736.10 and 78,290.50 is: 117,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,592.44 : 159,736.10 = 78,290.50 : x
  2. Step 2: Convert to fraction form
    106,592.44/159,736.10 = 78,290.50/x
  3. Step 3: Cross multiply
    106,592.44x = 159,736.10 × 78,290.50
  4. Step 4: Simplify right side
    106,592.44x = 12,505,819,137.05
  5. Step 5: Solve for x
    x = 12,505,819,137.05/106,592.44
  6. Step 6: Final answer
    x = 117,323.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.