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Finding the Fourth Proportional to 277,217.76, 382,560.78 and 149,893.32

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Solution

The fourth proportional to 277,217.76, 382,560.78 and 149,893.32 is: 206,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,217.76 : 382,560.78 = 149,893.32 : x
  2. Step 2: Convert to fraction form
    277,217.76/382,560.78 = 149,893.32/x
  3. Step 3: Cross multiply
    277,217.76x = 382,560.78 × 149,893.32
  4. Step 4: Simplify right side
    277,217.76x = 57,343,305,415.99
  5. Step 5: Solve for x
    x = 57,343,305,415.99/277,217.76
  6. Step 6: Final answer
    x = 206,852.93

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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.