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Finding the Fourth Proportional to 107,097.20, 160,530.60 and 40,511.60

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Solution

The fourth proportional to 107,097.20, 160,530.60 and 40,511.60 is: 60,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,097.20 : 160,530.60 = 40,511.60 : x
  2. Step 2: Convert to fraction form
    107,097.20/160,530.60 = 40,511.60/x
  3. Step 3: Cross multiply
    107,097.20x = 160,530.60 × 40,511.60
  4. Step 4: Simplify right side
    107,097.20x = 6,503,351,454.96
  5. Step 5: Solve for x
    x = 6,503,351,454.96/107,097.20
  6. Step 6: Final answer
    x = 60,723.82

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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.