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Finding the Fourth Proportional to 133,543.20, 200,314.38 and 33,711.36

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Solution

The fourth proportional to 133,543.20, 200,314.38 and 33,711.36 is: 50,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,543.20 : 200,314.38 = 33,711.36 : x
  2. Step 2: Convert to fraction form
    133,543.20/200,314.38 = 33,711.36/x
  3. Step 3: Cross multiply
    133,543.20x = 200,314.38 × 33,711.36
  4. Step 4: Simplify right side
    133,543.20x = 6,752,870,177.36
  5. Step 5: Solve for x
    x = 6,752,870,177.36/133,543.20
  6. Step 6: Final answer
    x = 50,566.93

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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.