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Finding the Fourth Proportional to 107,093.20, 160,591.20 and 40,511.20

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Solution

The fourth proportional to 107,093.20, 160,591.20 and 40,511.20 is: 60,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,093.20 : 160,591.20 = 40,511.20 : x
  2. Step 2: Convert to fraction form
    107,093.20/160,591.20 = 40,511.20/x
  3. Step 3: Cross multiply
    107,093.20x = 160,591.20 × 40,511.20
  4. Step 4: Simplify right side
    107,093.20x = 6,505,742,221.44
  5. Step 5: Solve for x
    x = 6,505,742,221.44/107,093.20
  6. Step 6: Final answer
    x = 60,748.42

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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.