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Finding the Fourth Proportional to 265,151.21, 365,804.10 and 196,408.13

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Solution

The fourth proportional to 265,151.21, 365,804.10 and 196,408.13 is: 270,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,151.21 : 365,804.10 = 196,408.13 : x
  2. Step 2: Convert to fraction form
    265,151.21/365,804.10 = 196,408.13/x
  3. Step 3: Cross multiply
    265,151.21x = 365,804.10 × 196,408.13
  4. Step 4: Simplify right side
    265,151.21x = 71,846,897,398.31
  5. Step 5: Solve for x
    x = 71,846,897,398.31/265,151.21
  6. Step 6: Final answer
    x = 270,965.76

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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.