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Finding the Fourth Proportional to 207,643.50, 311,433.66 and 57,868.02

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Solution

The fourth proportional to 207,643.50, 311,433.66 and 57,868.02 is: 86,793.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,643.50 : 311,433.66 = 57,868.02 : x
  2. Step 2: Convert to fraction form
    207,643.50/311,433.66 = 57,868.02/x
  3. Step 3: Cross multiply
    207,643.50x = 311,433.66 × 57,868.02
  4. Step 4: Simplify right side
    207,643.50x = 18,022,049,265.55
  5. Step 5: Solve for x
    x = 18,022,049,265.55/207,643.50
  6. Step 6: Final answer
    x = 86,793.23

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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.