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Finding the Fourth Proportional to 277,504.82, 416,002.08 and 99,968.41

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Solution

The fourth proportional to 277,504.82, 416,002.08 and 99,968.41 is: 149,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,504.82 : 416,002.08 = 99,968.41 : x
  2. Step 2: Convert to fraction form
    277,504.82/416,002.08 = 99,968.41/x
  3. Step 3: Cross multiply
    277,504.82x = 416,002.08 × 99,968.41
  4. Step 4: Simplify right side
    277,504.82x = 41,587,066,826.85
  5. Step 5: Solve for x
    x = 41,587,066,826.85/277,504.82
  6. Step 6: Final answer
    x = 149,860.70

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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.