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Finding the Fourth Proportional to 140,497.76, 194,105.22 and 117,801.56

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Solution

The fourth proportional to 140,497.76, 194,105.22 and 117,801.56 is: 162,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,497.76 : 194,105.22 = 117,801.56 : x
  2. Step 2: Convert to fraction form
    140,497.76/194,105.22 = 117,801.56/x
  3. Step 3: Cross multiply
    140,497.76x = 194,105.22 × 117,801.56
  4. Step 4: Simplify right side
    140,497.76x = 22,865,897,720.14
  5. Step 5: Solve for x
    x = 22,865,897,720.14/140,497.76
  6. Step 6: Final answer
    x = 162,749.20

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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.