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Finding the Fourth Proportional to 133,753.06, 200,655.82 and 49,513.87

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Solution

The fourth proportional to 133,753.06, 200,655.82 and 49,513.87 is: 74,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,753.06 : 200,655.82 = 49,513.87 : x
  2. Step 2: Convert to fraction form
    133,753.06/200,655.82 = 49,513.87/x
  3. Step 3: Cross multiply
    133,753.06x = 200,655.82 × 49,513.87
  4. Step 4: Simplify right side
    133,753.06x = 9,935,245,938.65
  5. Step 5: Solve for x
    x = 9,935,245,938.65/133,753.06
  6. Step 6: Final answer
    x = 74,280.51

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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.