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Finding the Fourth Proportional to 202,834.98, 279,910.62 and 112,194.82

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Solution

The fourth proportional to 202,834.98, 279,910.62 and 112,194.82 is: 154,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,834.98 : 279,910.62 = 112,194.82 : x
  2. Step 2: Convert to fraction form
    202,834.98/279,910.62 = 112,194.82/x
  3. Step 3: Cross multiply
    202,834.98x = 279,910.62 × 112,194.82
  4. Step 4: Simplify right side
    202,834.98x = 31,404,521,626.99
  5. Step 5: Solve for x
    x = 31,404,521,626.99/202,834.98
  6. Step 6: Final answer
    x = 154,827.94

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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.