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Finding the Fourth Proportional to 133,225.50, 199,917.09 and 49,044.81

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Solution

The fourth proportional to 133,225.50, 199,917.09 and 49,044.81 is: 73,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,225.50 : 199,917.09 = 49,044.81 : x
  2. Step 2: Convert to fraction form
    133,225.50/199,917.09 = 49,044.81/x
  3. Step 3: Cross multiply
    133,225.50x = 199,917.09 × 49,044.81
  4. Step 4: Simplify right side
    133,225.50x = 9,804,895,694.80
  5. Step 5: Solve for x
    x = 9,804,895,694.80/133,225.50
  6. Step 6: Final answer
    x = 73,596.24

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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.