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Finding the Fourth Proportional to 277,721.41, 383,254.78 and 150,396.97

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Solution

The fourth proportional to 277,721.41, 383,254.78 and 150,396.97 is: 207,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,721.41 : 383,254.78 = 150,396.97 : x
  2. Step 2: Convert to fraction form
    277,721.41/383,254.78 = 150,396.97/x
  3. Step 3: Cross multiply
    277,721.41x = 383,254.78 × 150,396.97
  4. Step 4: Simplify right side
    277,721.41x = 57,640,357,650.02
  5. Step 5: Solve for x
    x = 57,640,357,650.02/277,721.41
  6. Step 6: Final answer
    x = 207,547.40

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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.