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Finding the Fourth Proportional to 133,440.96, 200,161.79 and 49,164.61

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Solution

The fourth proportional to 133,440.96, 200,161.79 and 49,164.61 is: 73,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,440.96 : 200,161.79 = 49,164.61 : x
  2. Step 2: Convert to fraction form
    133,440.96/200,161.79 = 49,164.61/x
  3. Step 3: Cross multiply
    133,440.96x = 200,161.79 × 49,164.61
  4. Step 4: Simplify right side
    133,440.96x = 9,840,875,095.62
  5. Step 5: Solve for x
    x = 9,840,875,095.62/133,440.96
  6. Step 6: Final answer
    x = 73,747.03

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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.