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Finding the Fourth Proportional to 277,414.62, 416,199.69 and 111,319.26

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Solution

The fourth proportional to 277,414.62, 416,199.69 and 111,319.26 is: 167,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,414.62 : 416,199.69 = 111,319.26 : x
  2. Step 2: Convert to fraction form
    277,414.62/416,199.69 = 111,319.26/x
  3. Step 3: Cross multiply
    277,414.62x = 416,199.69 × 111,319.26
  4. Step 4: Simplify right side
    277,414.62x = 46,331,041,503.03
  5. Step 5: Solve for x
    x = 46,331,041,503.03/277,414.62
  6. Step 6: Final answer
    x = 167,010.09

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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.