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Finding the Fourth Proportional to 334,132.57, 501,173.67 and 106,419

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Solution

The fourth proportional to 334,132.57, 501,173.67 and 106,419 is: 159,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,132.57 : 501,173.67 = 106,419 : x
  2. Step 2: Convert to fraction form
    334,132.57/501,173.67 = 106,419/x
  3. Step 3: Cross multiply
    334,132.57x = 501,173.67 × 106,419
  4. Step 4: Simplify right side
    334,132.57x = 53,334,400,787.73
  5. Step 5: Solve for x
    x = 53,334,400,787.73/334,132.57
  6. Step 6: Final answer
    x = 159,620.48

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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.