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Finding the Fourth Proportional to 277,704.12, 416,470.08 and 100,188.08

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Solution

The fourth proportional to 277,704.12, 416,470.08 and 100,188.08 is: 150,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,704.12 : 416,470.08 = 100,188.08 : x
  2. Step 2: Convert to fraction form
    277,704.12/416,470.08 = 100,188.08/x
  3. Step 3: Cross multiply
    277,704.12x = 416,470.08 × 100,188.08
  4. Step 4: Simplify right side
    277,704.12x = 41,725,337,692.65
  5. Step 5: Solve for x
    x = 41,725,337,692.65/277,704.12
  6. Step 6: Final answer
    x = 150,251.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.