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Finding the Fourth Proportional to 133,212.65, 199,814.34 and 33,373.70

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Solution

The fourth proportional to 133,212.65, 199,814.34 and 33,373.70 is: 50,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,212.65 : 199,814.34 = 33,373.70 : x
  2. Step 2: Convert to fraction form
    133,212.65/199,814.34 = 33,373.70/x
  3. Step 3: Cross multiply
    133,212.65x = 199,814.34 × 33,373.70
  4. Step 4: Simplify right side
    133,212.65x = 6,668,543,838.86
  5. Step 5: Solve for x
    x = 6,668,543,838.86/133,212.65
  6. Step 6: Final answer
    x = 50,059.39

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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.