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Finding the Fourth Proportional to 206,498.84, 309,682.63 and 140,363.96

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Solution

The fourth proportional to 206,498.84, 309,682.63 and 140,363.96 is: 210,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498.84 : 309,682.63 = 140,363.96 : x
  2. Step 2: Convert to fraction form
    206,498.84/309,682.63 = 140,363.96/x
  3. Step 3: Cross multiply
    206,498.84x = 309,682.63 × 140,363.96
  4. Step 4: Simplify right side
    206,498.84x = 43,468,280,713.31
  5. Step 5: Solve for x
    x = 43,468,280,713.31/206,498.84
  6. Step 6: Final answer
    x = 210,501.33

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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.