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Finding the Fourth Proportional to 133,517.49, 200,260.86 and 33,678.59

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Solution

The fourth proportional to 133,517.49, 200,260.86 and 33,678.59 is: 50,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,517.49 : 200,260.86 = 33,678.59 : x
  2. Step 2: Convert to fraction form
    133,517.49/200,260.86 = 33,678.59/x
  3. Step 3: Cross multiply
    133,517.49x = 200,260.86 × 33,678.59
  4. Step 4: Simplify right side
    133,517.49x = 6,744,502,269.39
  5. Step 5: Solve for x
    x = 6,744,502,269.39/133,517.49
  6. Step 6: Final answer
    x = 50,514.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.