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Finding the Fourth Proportional to 133,112, 199,697.16 and 50,006

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Solution

The fourth proportional to 133,112, 199,697.16 and 50,006 is: 75,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,112 : 199,697.16 = 50,006 : x
  2. Step 2: Convert to fraction form
    133,112/199,697.16 = 50,006/x
  3. Step 3: Cross multiply
    133,112x = 199,697.16 × 50,006
  4. Step 4: Simplify right side
    133,112x = 9,986,056,182.96
  5. Step 5: Solve for x
    x = 9,986,056,182.96/133,112
  6. Step 6: Final answer
    x = 75,019.95

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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.