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Finding the Fourth Proportional to 277,003.64, 382,265.14 and 149,679.24

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Solution

The fourth proportional to 277,003.64, 382,265.14 and 149,679.24 is: 206,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,003.64 : 382,265.14 = 149,679.24 : x
  2. Step 2: Convert to fraction form
    277,003.64/382,265.14 = 149,679.24/x
  3. Step 3: Cross multiply
    277,003.64x = 382,265.14 × 149,679.24
  4. Step 4: Simplify right side
    277,003.64x = 57,217,155,633.69
  5. Step 5: Solve for x
    x = 57,217,155,633.69/277,003.64
  6. Step 6: Final answer
    x = 206,557.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.