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Finding the Fourth Proportional to 202,296.97, 279,169.54 and 111,653.11

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Solution

The fourth proportional to 202,296.97, 279,169.54 and 111,653.11 is: 154,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,296.97 : 279,169.54 = 111,653.11 : x
  2. Step 2: Convert to fraction form
    202,296.97/279,169.54 = 111,653.11/x
  3. Step 3: Cross multiply
    202,296.97x = 279,169.54 × 111,653.11
  4. Step 4: Simplify right side
    202,296.97x = 31,170,147,358.27
  5. Step 5: Solve for x
    x = 31,170,147,358.27/202,296.97
  6. Step 6: Final answer
    x = 154,081.14

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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.