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Finding the Fourth Proportional to 133,462.36, 200,193.65 and 33,621.71

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Solution

The fourth proportional to 133,462.36, 200,193.65 and 33,621.71 is: 50,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,462.36 : 200,193.65 = 33,621.71 : x
  2. Step 2: Convert to fraction form
    133,462.36/200,193.65 = 33,621.71/x
  3. Step 3: Cross multiply
    133,462.36x = 200,193.65 × 33,621.71
  4. Step 4: Simplify right side
    133,462.36x = 6,730,852,458.75
  5. Step 5: Solve for x
    x = 6,730,852,458.75/133,462.36
  6. Step 6: Final answer
    x = 50,432.59

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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.