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Finding the Fourth Proportional to 277,149.05, 382,466.25 and 149,824.64

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Solution

The fourth proportional to 277,149.05, 382,466.25 and 149,824.64 is: 206,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,149.05 : 382,466.25 = 149,824.64 : x
  2. Step 2: Convert to fraction form
    277,149.05/382,466.25 = 149,824.64/x
  3. Step 3: Cross multiply
    277,149.05x = 382,466.25 × 149,824.64
  4. Step 4: Simplify right side
    277,149.05x = 57,302,868,218.40
  5. Step 5: Solve for x
    x = 57,302,868,218.40/277,149.05
  6. Step 6: Final answer
    x = 206,758.31

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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.