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Finding the Fourth Proportional to 202,726.56, 279,741.24 and 112,067.94

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Solution

The fourth proportional to 202,726.56, 279,741.24 and 112,067.94 is: 154,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,726.56 : 279,741.24 = 112,067.94 : x
  2. Step 2: Convert to fraction form
    202,726.56/279,741.24 = 112,067.94/x
  3. Step 3: Cross multiply
    202,726.56x = 279,741.24 × 112,067.94
  4. Step 4: Simplify right side
    202,726.56x = 31,350,024,499.85
  5. Step 5: Solve for x
    x = 31,350,024,499.85/202,726.56
  6. Step 6: Final answer
    x = 154,641.92

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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.