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Finding the Fourth Proportional to 206,859.12, 310,282.50 and 57,108.55

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Solution

The fourth proportional to 206,859.12, 310,282.50 and 57,108.55 is: 85,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.12 : 310,282.50 = 57,108.55 : x
  2. Step 2: Convert to fraction form
    206,859.12/310,282.50 = 57,108.55/x
  3. Step 3: Cross multiply
    206,859.12x = 310,282.50 × 57,108.55
  4. Step 4: Simplify right side
    206,859.12x = 17,719,782,113.96
  5. Step 5: Solve for x
    x = 17,719,782,113.96/206,859.12
  6. Step 6: Final answer
    x = 85,661.11

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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.