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Finding the Fourth Proportional to 133,696.86, 200,541.21 and 54,751.65

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Solution

The fourth proportional to 133,696.86, 200,541.21 and 54,751.65 is: 82,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696.86 : 200,541.21 = 54,751.65 : x
  2. Step 2: Convert to fraction form
    133,696.86/200,541.21 = 54,751.65/x
  3. Step 3: Cross multiply
    133,696.86x = 200,541.21 × 54,751.65
  4. Step 4: Simplify right side
    133,696.86x = 10,979,962,140.50
  5. Step 5: Solve for x
    x = 10,979,962,140.50/133,696.86
  6. Step 6: Final answer
    x = 82,125.80

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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.