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Finding the Fourth Proportional to 133,914, 200,872.14 and 34,074.30

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Solution

The fourth proportional to 133,914, 200,872.14 and 34,074.30 is: 51,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,914 : 200,872.14 = 34,074.30 : x
  2. Step 2: Convert to fraction form
    133,914/200,872.14 = 34,074.30/x
  3. Step 3: Cross multiply
    133,914x = 200,872.14 × 34,074.30
  4. Step 4: Simplify right side
    133,914x = 6,844,577,560.00
  5. Step 5: Solve for x
    x = 6,844,577,560.00/133,914
  6. Step 6: Final answer
    x = 51,111.74

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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.