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Finding the Fourth Proportional to 133,294.51, 199,935.61 and 33,452.49

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Solution

The fourth proportional to 133,294.51, 199,935.61 and 33,452.49 is: 50,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,294.51 : 199,935.61 = 33,452.49 : x
  2. Step 2: Convert to fraction form
    133,294.51/199,935.61 = 33,452.49/x
  3. Step 3: Cross multiply
    133,294.51x = 199,935.61 × 33,452.49
  4. Step 4: Simplify right side
    133,294.51x = 6,688,344,660.30
  5. Step 5: Solve for x
    x = 6,688,344,660.30/133,294.51
  6. Step 6: Final answer
    x = 50,177.19

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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.