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Finding the Fourth Proportional to 202,726.26, 279,737.82 and 112,069.98

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Solution

The fourth proportional to 202,726.26, 279,737.82 and 112,069.98 is: 154,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,726.26 : 279,737.82 = 112,069.98 : x
  2. Step 2: Convert to fraction form
    202,726.26/279,737.82 = 112,069.98/x
  3. Step 3: Cross multiply
    202,726.26x = 279,737.82 × 112,069.98
  4. Step 4: Simplify right side
    202,726.26x = 31,350,211,892.64
  5. Step 5: Solve for x
    x = 31,350,211,892.64/202,726.26
  6. Step 6: Final answer
    x = 154,643.07

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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.