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Finding the Fourth Proportional to 264,717.89, 397,150.95 and 107,057.06

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Solution

The fourth proportional to 264,717.89, 397,150.95 and 107,057.06 is: 160,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,717.89 : 397,150.95 = 107,057.06 : x
  2. Step 2: Convert to fraction form
    264,717.89/397,150.95 = 107,057.06/x
  3. Step 3: Cross multiply
    264,717.89x = 397,150.95 × 107,057.06
  4. Step 4: Simplify right side
    264,717.89x = 42,517,813,083.21
  5. Step 5: Solve for x
    x = 42,517,813,083.21/264,717.89
  6. Step 6: Final answer
    x = 160,615.56

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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.