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Finding the Fourth Proportional to 277,353.76, 382,747.44 and 150,031.12

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Solution

The fourth proportional to 277,353.76, 382,747.44 and 150,031.12 is: 207,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,353.76 : 382,747.44 = 150,031.12 : x
  2. Step 2: Convert to fraction form
    277,353.76/382,747.44 = 150,031.12/x
  3. Step 3: Cross multiply
    277,353.76x = 382,747.44 × 150,031.12
  4. Step 4: Simplify right side
    277,353.76x = 57,424,027,100.33
  5. Step 5: Solve for x
    x = 57,424,027,100.33/277,353.76
  6. Step 6: Final answer
    x = 207,042.54

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1.5x scale

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.