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Finding the Fourth Proportional to 268,190.96, 402,338.34 and 101,966

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Solution

The fourth proportional to 268,190.96, 402,338.34 and 101,966 is: 152,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,190.96 : 402,338.34 = 101,966 : x
  2. Step 2: Convert to fraction form
    268,190.96/402,338.34 = 101,966/x
  3. Step 3: Cross multiply
    268,190.96x = 402,338.34 × 101,966
  4. Step 4: Simplify right side
    268,190.96x = 41,024,831,176.44
  5. Step 5: Solve for x
    x = 41,024,831,176.44/268,190.96
  6. Step 6: Final answer
    x = 152,968.73

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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.