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Finding the Fourth Proportional to 277,687.66, 416,532.86 and 67,325.60

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Solution

The fourth proportional to 277,687.66, 416,532.86 and 67,325.60 is: 100,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,687.66 : 416,532.86 = 67,325.60 : x
  2. Step 2: Convert to fraction form
    277,687.66/416,532.86 = 67,325.60/x
  3. Step 3: Cross multiply
    277,687.66x = 416,532.86 × 67,325.60
  4. Step 4: Simplify right side
    277,687.66x = 28,043,324,719.22
  5. Step 5: Solve for x
    x = 28,043,324,719.22/277,687.66
  6. Step 6: Final answer
    x = 100,988.73

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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.