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Finding the Fourth Proportional to 202,866.26, 279,950.37 and 112,227.26

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Solution

The fourth proportional to 202,866.26, 279,950.37 and 112,227.26 is: 154,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,866.26 : 279,950.37 = 112,227.26 : x
  2. Step 2: Convert to fraction form
    202,866.26/279,950.37 = 112,227.26/x
  3. Step 3: Cross multiply
    202,866.26x = 279,950.37 × 112,227.26
  4. Step 4: Simplify right side
    202,866.26x = 31,418,061,561.33
  5. Step 5: Solve for x
    x = 31,418,061,561.33/202,866.26
  6. Step 6: Final answer
    x = 154,870.81

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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.