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Finding the Fourth Proportional to 140,011.68, 193,198.93 and 85,591.22

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Solution

The fourth proportional to 140,011.68, 193,198.93 and 85,591.22 is: 118,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,011.68 : 193,198.93 = 85,591.22 : x
  2. Step 2: Convert to fraction form
    140,011.68/193,198.93 = 85,591.22/x
  3. Step 3: Cross multiply
    140,011.68x = 193,198.93 × 85,591.22
  4. Step 4: Simplify right side
    140,011.68x = 16,536,132,390.41
  5. Step 5: Solve for x
    x = 16,536,132,390.41/140,011.68
  6. Step 6: Final answer
    x = 118,105.38

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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.