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Finding the Fourth Proportional to 209,193.48, 313,613.37 and 90,775.26

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Solution

The fourth proportional to 209,193.48, 313,613.37 and 90,775.26 is: 136,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,193.48 : 313,613.37 = 90,775.26 : x
  2. Step 2: Convert to fraction form
    209,193.48/313,613.37 = 90,775.26/x
  3. Step 3: Cross multiply
    209,193.48x = 313,613.37 × 90,775.26
  4. Step 4: Simplify right side
    209,193.48x = 28,468,335,201.23
  5. Step 5: Solve for x
    x = 28,468,335,201.23/209,193.48
  6. Step 6: Final answer
    x = 136,086.15

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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.