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Finding the Fourth Proportional to 193,514.64, 290,290.29 and 75,195.09

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Solution

The fourth proportional to 193,514.64, 290,290.29 and 75,195.09 is: 112,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,514.64 : 290,290.29 = 75,195.09 : x
  2. Step 2: Convert to fraction form
    193,514.64/290,290.29 = 75,195.09/x
  3. Step 3: Cross multiply
    193,514.64x = 290,290.29 × 75,195.09
  4. Step 4: Simplify right side
    193,514.64x = 21,828,404,482.68
  5. Step 5: Solve for x
    x = 21,828,404,482.68/193,514.64
  6. Step 6: Final answer
    x = 112,799.76

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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.