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Finding the Fourth Proportional to 201,471.55, 278,031.40 and 110,834.41

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Solution

The fourth proportional to 201,471.55, 278,031.40 and 110,834.41 is: 152,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,471.55 : 278,031.40 = 110,834.41 : x
  2. Step 2: Convert to fraction form
    201,471.55/278,031.40 = 110,834.41/x
  3. Step 3: Cross multiply
    201,471.55x = 278,031.40 × 110,834.41
  4. Step 4: Simplify right side
    201,471.55x = 30,815,446,180.47
  5. Step 5: Solve for x
    x = 30,815,446,180.47/201,471.55
  6. Step 6: Final answer
    x = 152,951.85

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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.