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Finding the Fourth Proportional to 203,054.25, 304,575.17 and 96,514.95

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Solution

The fourth proportional to 203,054.25, 304,575.17 and 96,514.95 is: 144,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,054.25 : 304,575.17 = 96,514.95 : x
  2. Step 2: Convert to fraction form
    203,054.25/304,575.17 = 96,514.95/x
  3. Step 3: Cross multiply
    203,054.25x = 304,575.17 × 96,514.95
  4. Step 4: Simplify right side
    203,054.25x = 29,396,056,821.22
  5. Step 5: Solve for x
    x = 29,396,056,821.22/203,054.25
  6. Step 6: Final answer
    x = 144,769.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.