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Finding the Fourth Proportional to 206,874.10, 310,311.15 and 101,898.10

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Solution

The fourth proportional to 206,874.10, 310,311.15 and 101,898.10 is: 152,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,874.10 : 310,311.15 = 101,898.10 : x
  2. Step 2: Convert to fraction form
    206,874.10/310,311.15 = 101,898.10/x
  3. Step 3: Cross multiply
    206,874.10x = 310,311.15 × 101,898.10
  4. Step 4: Simplify right side
    206,874.10x = 31,620,116,593.82
  5. Step 5: Solve for x
    x = 31,620,116,593.82/206,874.10
  6. Step 6: Final answer
    x = 152,847.15

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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.