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Finding the Fourth Proportional to 173,294.12, 259,965.94 and 53,361.20

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Solution

The fourth proportional to 173,294.12, 259,965.94 and 53,361.20 is: 80,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,294.12 : 259,965.94 = 53,361.20 : x
  2. Step 2: Convert to fraction form
    173,294.12/259,965.94 = 53,361.20/x
  3. Step 3: Cross multiply
    173,294.12x = 259,965.94 × 53,361.20
  4. Step 4: Simplify right side
    173,294.12x = 13,872,094,517.53
  5. Step 5: Solve for x
    x = 13,872,094,517.53/173,294.12
  6. Step 6: Final answer
    x = 80,049.42

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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.