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Finding the Fourth Proportional to 207,738.40, 311,607.60 and 67,511.20

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Solution

The fourth proportional to 207,738.40, 311,607.60 and 67,511.20 is: 101,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,738.40 : 311,607.60 = 67,511.20 : x
  2. Step 2: Convert to fraction form
    207,738.40/311,607.60 = 67,511.20/x
  3. Step 3: Cross multiply
    207,738.40x = 311,607.60 × 67,511.20
  4. Step 4: Simplify right side
    207,738.40x = 21,037,003,005.12
  5. Step 5: Solve for x
    x = 21,037,003,005.12/207,738.40
  6. Step 6: Final answer
    x = 101,266.80

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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.