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Finding the Fourth Proportional to 106,189.52, 159,356.64 and 43,859.60

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Solution

The fourth proportional to 106,189.52, 159,356.64 and 43,859.60 is: 65,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,189.52 : 159,356.64 = 43,859.60 : x
  2. Step 2: Convert to fraction form
    106,189.52/159,356.64 = 43,859.60/x
  3. Step 3: Cross multiply
    106,189.52x = 159,356.64 × 43,859.60
  4. Step 4: Simplify right side
    106,189.52x = 6,989,318,487.74
  5. Step 5: Solve for x
    x = 6,989,318,487.74/106,189.52
  6. Step 6: Final answer
    x = 65,819.29

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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.