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Finding the Fourth Proportional to 133,402.62, 200,130.71 and 49,163.22

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Solution

The fourth proportional to 133,402.62, 200,130.71 and 49,163.22 is: 73,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,402.62 : 200,130.71 = 49,163.22 : x
  2. Step 2: Convert to fraction form
    133,402.62/200,130.71 = 49,163.22/x
  3. Step 3: Cross multiply
    133,402.62x = 200,130.71 × 49,163.22
  4. Step 4: Simplify right side
    133,402.62x = 9,839,070,124.49
  5. Step 5: Solve for x
    x = 9,839,070,124.49/133,402.62
  6. Step 6: Final answer
    x = 73,754.70

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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.