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Finding the Fourth Proportional to 206,542.63, 309,754.50 and 56,787.85

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Solution

The fourth proportional to 206,542.63, 309,754.50 and 56,787.85 is: 85,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,542.63 : 309,754.50 = 56,787.85 : x
  2. Step 2: Convert to fraction form
    206,542.63/309,754.50 = 56,787.85/x
  3. Step 3: Cross multiply
    206,542.63x = 309,754.50 × 56,787.85
  4. Step 4: Simplify right side
    206,542.63x = 17,590,292,082.83
  5. Step 5: Solve for x
    x = 17,590,292,082.83/206,542.63
  6. Step 6: Final answer
    x = 85,165.43

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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.