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Finding the Fourth Proportional to 115,144.56, 172,716.84 and 65,862

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Solution

The fourth proportional to 115,144.56, 172,716.84 and 65,862 is: 98,793

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,144.56 : 172,716.84 = 65,862 : x
  2. Step 2: Convert to fraction form
    115,144.56/172,716.84 = 65,862/x
  3. Step 3: Cross multiply
    115,144.56x = 172,716.84 × 65,862
  4. Step 4: Simplify right side
    115,144.56x = 11,375,476,516.08
  5. Step 5: Solve for x
    x = 11,375,476,516.08/115,144.56
  6. Step 6: Final answer
    x = 98,793

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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.