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Finding the Fourth Proportional to 277,508.34, 382,962.74 and 150,183.97

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Solution

The fourth proportional to 277,508.34, 382,962.74 and 150,183.97 is: 207,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,508.34 : 382,962.74 = 150,183.97 : x
  2. Step 2: Convert to fraction form
    277,508.34/382,962.74 = 150,183.97/x
  3. Step 3: Cross multiply
    277,508.34x = 382,962.74 × 150,183.97
  4. Step 4: Simplify right side
    277,508.34x = 57,514,862,946.95
  5. Step 5: Solve for x
    x = 57,514,862,946.95/277,508.34
  6. Step 6: Final answer
    x = 207,254.54

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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.