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Finding the Fourth Proportional to 206,471.76, 285,018.12 and 139,494.48

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Solution

The fourth proportional to 206,471.76, 285,018.12 and 139,494.48 is: 192,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,471.76 : 285,018.12 = 139,494.48 : x
  2. Step 2: Convert to fraction form
    206,471.76/285,018.12 = 139,494.48/x
  3. Step 3: Cross multiply
    206,471.76x = 285,018.12 × 139,494.48
  4. Step 4: Simplify right side
    206,471.76x = 39,758,454,439.98
  5. Step 5: Solve for x
    x = 39,758,454,439.98/206,471.76
  6. Step 6: Final answer
    x = 192,561.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.