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Finding the Fourth Proportional to 201,906.88, 278,627.92 and 117,031.84

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Solution

The fourth proportional to 201,906.88, 278,627.92 and 117,031.84 is: 161,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.88 : 278,627.92 = 117,031.84 : x
  2. Step 2: Convert to fraction form
    201,906.88/278,627.92 = 117,031.84/x
  3. Step 3: Cross multiply
    201,906.88x = 278,627.92 × 117,031.84
  4. Step 4: Simplify right side
    201,906.88x = 32,608,338,152.97
  5. Step 5: Solve for x
    x = 32,608,338,152.97/201,906.88
  6. Step 6: Final answer
    x = 161,501.87

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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.