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Finding the Fourth Proportional to 277,923.90, 416,910.46 and 78,246.02

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Solution

The fourth proportional to 277,923.90, 416,910.46 and 78,246.02 is: 117,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,923.90 : 416,910.46 = 78,246.02 : x
  2. Step 2: Convert to fraction form
    277,923.90/416,910.46 = 78,246.02/x
  3. Step 3: Cross multiply
    277,923.90x = 416,910.46 × 78,246.02
  4. Step 4: Simplify right side
    277,923.90x = 32,621,584,191.37
  5. Step 5: Solve for x
    x = 32,621,584,191.37/277,923.90
  6. Step 6: Final answer
    x = 117,375.96

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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.