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Finding the Fourth Proportional to 207,885.60, 311,367.60 and 160,986.40

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Solution

The fourth proportional to 207,885.60, 311,367.60 and 160,986.40 is: 241,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,885.60 : 311,367.60 = 160,986.40 : x
  2. Step 2: Convert to fraction form
    207,885.60/311,367.60 = 160,986.40/x
  3. Step 3: Cross multiply
    207,885.60x = 311,367.60 × 160,986.40
  4. Step 4: Simplify right side
    207,885.60x = 50,125,949,000.64
  5. Step 5: Solve for x
    x = 50,125,949,000.64/207,885.60
  6. Step 6: Final answer
    x = 241,122.76

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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.