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Finding the Fourth Proportional to 277,705.92, 416,538.09 and 100,212.92

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Solution

The fourth proportional to 277,705.92, 416,538.09 and 100,212.92 is: 150,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,705.92 : 416,538.09 = 100,212.92 : x
  2. Step 2: Convert to fraction form
    277,705.92/416,538.09 = 100,212.92/x
  3. Step 3: Cross multiply
    277,705.92x = 416,538.09 × 100,212.92
  4. Step 4: Simplify right side
    277,705.92x = 41,742,497,393.65
  5. Step 5: Solve for x
    x = 41,742,497,393.65/277,705.92
  6. Step 6: Final answer
    x = 150,311.88

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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.