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Finding the Fourth Proportional to 100,723.84, 151,087.50 and 34,165.69

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Solution

The fourth proportional to 100,723.84, 151,087.50 and 34,165.69 is: 51,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,723.84 : 151,087.50 = 34,165.69 : x
  2. Step 2: Convert to fraction form
    100,723.84/151,087.50 = 34,165.69/x
  3. Step 3: Cross multiply
    100,723.84x = 151,087.50 × 34,165.69
  4. Step 4: Simplify right side
    100,723.84x = 5,162,008,687.88
  5. Step 5: Solve for x
    x = 5,162,008,687.88/100,723.84
  6. Step 6: Final answer
    x = 51,249.13

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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.