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Finding the Fourth Proportional to 133,049.68, 199,574.52 and 48,778

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Solution

The fourth proportional to 133,049.68, 199,574.52 and 48,778 is: 73,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,049.68 : 199,574.52 = 48,778 : x
  2. Step 2: Convert to fraction form
    133,049.68/199,574.52 = 48,778/x
  3. Step 3: Cross multiply
    133,049.68x = 199,574.52 × 48,778
  4. Step 4: Simplify right side
    133,049.68x = 9,734,845,936.56
  5. Step 5: Solve for x
    x = 9,734,845,936.56/133,049.68
  6. Step 6: Final answer
    x = 73,167

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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.