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Finding the Fourth Proportional to 277,236, 382,585.82 and 149,911.56

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Solution

The fourth proportional to 277,236, 382,585.82 and 149,911.56 is: 206,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,236 : 382,585.82 = 149,911.56 : x
  2. Step 2: Convert to fraction form
    277,236/382,585.82 = 149,911.56/x
  3. Step 3: Cross multiply
    277,236x = 382,585.82 × 149,911.56
  4. Step 4: Simplify right side
    277,236x = 57,354,036,360.52
  5. Step 5: Solve for x
    x = 57,354,036,360.52/277,236
  6. Step 6: Final answer
    x = 206,878.03

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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.