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Finding the Fourth Proportional to 277,029.06, 382,300.10 and 149,704.66

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Solution

The fourth proportional to 277,029.06, 382,300.10 and 149,704.66 is: 206,592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,029.06 : 382,300.10 = 149,704.66 : x
  2. Step 2: Convert to fraction form
    277,029.06/382,300.10 = 149,704.66/x
  3. Step 3: Cross multiply
    277,029.06x = 382,300.10 × 149,704.66
  4. Step 4: Simplify right side
    277,029.06x = 57,232,103,828.44
  5. Step 5: Solve for x
    x = 57,232,103,828.44/277,029.06
  6. Step 6: Final answer
    x = 206,592.42

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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.