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Finding the Fourth Proportional to 68,165.42, 102,214.17 and 43,186.44

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Solution

The fourth proportional to 68,165.42, 102,214.17 and 43,186.44 is: 64,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,165.42 : 102,214.17 = 43,186.44 : x
  2. Step 2: Convert to fraction form
    68,165.42/102,214.17 = 43,186.44/x
  3. Step 3: Cross multiply
    68,165.42x = 102,214.17 × 43,186.44
  4. Step 4: Simplify right side
    68,165.42x = 4,414,266,119.85
  5. Step 5: Solve for x
    x = 4,414,266,119.85/68,165.42
  6. Step 6: Final answer
    x = 64,758.14

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1.5x scale

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.