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Finding the Fourth Proportional to 202,327, 279,211.26 and 111,682.98

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Solution

The fourth proportional to 202,327, 279,211.26 and 111,682.98 is: 154,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,327 : 279,211.26 = 111,682.98 : x
  2. Step 2: Convert to fraction form
    202,327/279,211.26 = 111,682.98/x
  3. Step 3: Cross multiply
    202,327x = 279,211.26 × 111,682.98
  4. Step 4: Simplify right side
    202,327x = 31,183,145,566.35
  5. Step 5: Solve for x
    x = 31,183,145,566.35/202,327
  6. Step 6: Final answer
    x = 154,122.51

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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.