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Finding the Fourth Proportional to 233,874.22, 322,796.50 and 147,778.54

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Solution

The fourth proportional to 233,874.22, 322,796.50 and 147,778.54 is: 203,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,874.22 : 322,796.50 = 147,778.54 : x
  2. Step 2: Convert to fraction form
    233,874.22/322,796.50 = 147,778.54/x
  3. Step 3: Cross multiply
    233,874.22x = 322,796.50 × 147,778.54
  4. Step 4: Simplify right side
    233,874.22x = 47,702,394,310.67
  5. Step 5: Solve for x
    x = 47,702,394,310.67/233,874.22
  6. Step 6: Final answer
    x = 203,966.02

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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.