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Finding the Fourth Proportional to 179,843.75, 269,626.02 and 116,530.10

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Solution

The fourth proportional to 179,843.75, 269,626.02 and 116,530.10 is: 174,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,843.75 : 269,626.02 = 116,530.10 : x
  2. Step 2: Convert to fraction form
    179,843.75/269,626.02 = 116,530.10/x
  3. Step 3: Cross multiply
    179,843.75x = 269,626.02 × 116,530.10
  4. Step 4: Simplify right side
    179,843.75x = 31,419,547,073.20
  5. Step 5: Solve for x
    x = 31,419,547,073.20/179,843.75
  6. Step 6: Final answer
    x = 174,704.69

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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.