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Finding the Fourth Proportional to 100,705.62, 150,964.08 and 34,099.14

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Solution

The fourth proportional to 100,705.62, 150,964.08 and 34,099.14 is: 51,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.62 : 150,964.08 = 34,099.14 : x
  2. Step 2: Convert to fraction form
    100,705.62/150,964.08 = 34,099.14/x
  3. Step 3: Cross multiply
    100,705.62x = 150,964.08 × 34,099.14
  4. Step 4: Simplify right side
    100,705.62x = 5,147,745,298.89
  5. Step 5: Solve for x
    x = 5,147,745,298.89/100,705.62
  6. Step 6: Final answer
    x = 51,116.76

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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.