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Finding the Fourth Proportional to 107,183.52, 160,664.88 and 72,133.20

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Solution

The fourth proportional to 107,183.52, 160,664.88 and 72,133.20 is: 108,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,183.52 : 160,664.88 = 72,133.20 : x
  2. Step 2: Convert to fraction form
    107,183.52/160,664.88 = 72,133.20/x
  3. Step 3: Cross multiply
    107,183.52x = 160,664.88 × 72,133.20
  4. Step 4: Simplify right side
    107,183.52x = 11,589,271,922.02
  5. Step 5: Solve for x
    x = 11,589,271,922.02/107,183.52
  6. Step 6: Final answer
    x = 108,125.50

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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.