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Finding the Fourth Proportional to 202,498.44, 279,448.38 and 111,852.78

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Solution

The fourth proportional to 202,498.44, 279,448.38 and 111,852.78 is: 154,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,498.44 : 279,448.38 = 111,852.78 : x
  2. Step 2: Convert to fraction form
    202,498.44/279,448.38 = 111,852.78/x
  3. Step 3: Cross multiply
    202,498.44x = 279,448.38 × 111,852.78
  4. Step 4: Simplify right side
    202,498.44x = 31,257,078,169.50
  5. Step 5: Solve for x
    x = 31,257,078,169.50/202,498.44
  6. Step 6: Final answer
    x = 154,357.13

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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.