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Finding the Fourth Proportional to 208,599.40, 312,899.10 and 75,500.20

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Solution

The fourth proportional to 208,599.40, 312,899.10 and 75,500.20 is: 113,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,599.40 : 312,899.10 = 75,500.20 : x
  2. Step 2: Convert to fraction form
    208,599.40/312,899.10 = 75,500.20/x
  3. Step 3: Cross multiply
    208,599.40x = 312,899.10 × 75,500.20
  4. Step 4: Simplify right side
    208,599.40x = 23,623,944,629.82
  5. Step 5: Solve for x
    x = 23,623,944,629.82/208,599.40
  6. Step 6: Final answer
    x = 113,250.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.