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Finding the Fourth Proportional to 179,369.64, 269,053.02 and 67,078.20

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Solution

The fourth proportional to 179,369.64, 269,053.02 and 67,078.20 is: 100,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,369.64 : 269,053.02 = 67,078.20 : x
  2. Step 2: Convert to fraction form
    179,369.64/269,053.02 = 67,078.20/x
  3. Step 3: Cross multiply
    179,369.64x = 269,053.02 × 67,078.20
  4. Step 4: Simplify right side
    179,369.64x = 18,047,592,286.16
  5. Step 5: Solve for x
    x = 18,047,592,286.16/179,369.64
  6. Step 6: Final answer
    x = 100,616.76

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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.