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Finding the Fourth Proportional to 277,029.50, 382,300.70 and 149,705.09

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Solution

The fourth proportional to 277,029.50, 382,300.70 and 149,705.09 is: 206,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,029.50 : 382,300.70 = 149,705.09 : x
  2. Step 2: Convert to fraction form
    277,029.50/382,300.70 = 149,705.09/x
  3. Step 3: Cross multiply
    277,029.50x = 382,300.70 × 149,705.09
  4. Step 4: Simplify right side
    277,029.50x = 57,232,359,163.32
  5. Step 5: Solve for x
    x = 57,232,359,163.32/277,029.50
  6. Step 6: Final answer
    x = 206,593.02

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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.