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Finding the Fourth Proportional to 207,764.80, 311,647.20 and 67,537.60

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Solution

The fourth proportional to 207,764.80, 311,647.20 and 67,537.60 is: 101,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,764.80 : 311,647.20 = 67,537.60 : x
  2. Step 2: Convert to fraction form
    207,764.80/311,647.20 = 67,537.60/x
  3. Step 3: Cross multiply
    207,764.80x = 311,647.20 × 67,537.60
  4. Step 4: Simplify right side
    207,764.80x = 21,047,903,934.72
  5. Step 5: Solve for x
    x = 21,047,903,934.72/207,764.80
  6. Step 6: Final answer
    x = 101,306.40

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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.