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Finding the Fourth Proportional to 277,162.44, 382,484.07 and 149,838

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Solution

The fourth proportional to 277,162.44, 382,484.07 and 149,838 is: 206,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,162.44 : 382,484.07 = 149,838 : x
  2. Step 2: Convert to fraction form
    277,162.44/382,484.07 = 149,838/x
  3. Step 3: Cross multiply
    277,162.44x = 382,484.07 × 149,838
  4. Step 4: Simplify right side
    277,162.44x = 57,310,648,080.66
  5. Step 5: Solve for x
    x = 57,310,648,080.66/277,162.44
  6. Step 6: Final answer
    x = 206,776.39

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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.