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Finding the Fourth Proportional to 193,820.40, 290,514.60 and 75,452.40

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Solution

The fourth proportional to 193,820.40, 290,514.60 and 75,452.40 is: 113,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,820.40 : 290,514.60 = 75,452.40 : x
  2. Step 2: Convert to fraction form
    193,820.40/290,514.60 = 75,452.40/x
  3. Step 3: Cross multiply
    193,820.40x = 290,514.60 × 75,452.40
  4. Step 4: Simplify right side
    193,820.40x = 21,920,023,805.04
  5. Step 5: Solve for x
    x = 21,920,023,805.04/193,820.40
  6. Step 6: Final answer
    x = 113,094.51

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