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Finding the Fourth Proportional to 133,756.62, 200,493.52 and 49,462.70

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Solution

The fourth proportional to 133,756.62, 200,493.52 and 49,462.70 is: 74,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,756.62 : 200,493.52 = 49,462.70 : x
  2. Step 2: Convert to fraction form
    133,756.62/200,493.52 = 49,462.70/x
  3. Step 3: Cross multiply
    133,756.62x = 200,493.52 × 49,462.70
  4. Step 4: Simplify right side
    133,756.62x = 9,916,950,831.70
  5. Step 5: Solve for x
    x = 9,916,950,831.70/133,756.62
  6. Step 6: Final answer
    x = 74,141.76

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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.