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Finding the Fourth Proportional to 202,498.25, 279,448.49 and 110,618.80

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Solution

The fourth proportional to 202,498.25, 279,448.49 and 110,618.80 is: 152,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,498.25 : 279,448.49 = 110,618.80 : x
  2. Step 2: Convert to fraction form
    202,498.25/279,448.49 = 110,618.80/x
  3. Step 3: Cross multiply
    202,498.25x = 279,448.49 × 110,618.80
  4. Step 4: Simplify right side
    202,498.25x = 30,912,256,203.54
  5. Step 5: Solve for x
    x = 30,912,256,203.54/202,498.25
  6. Step 6: Final answer
    x = 152,654.44

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1.5x scale

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.