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Finding the Fourth Proportional to 277,808.87, 416,785.21 and 85,679.06

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Solution

The fourth proportional to 277,808.87, 416,785.21 and 85,679.06 is: 128,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,808.87 : 416,785.21 = 85,679.06 : x
  2. Step 2: Convert to fraction form
    277,808.87/416,785.21 = 85,679.06/x
  3. Step 3: Cross multiply
    277,808.87x = 416,785.21 × 85,679.06
  4. Step 4: Simplify right side
    277,808.87x = 35,709,762,716.58
  5. Step 5: Solve for x
    x = 35,709,762,716.58/277,808.87
  6. Step 6: Final answer
    x = 128,540.76

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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.