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Finding the Fourth Proportional to 101,153.28, 151,760.29 and 47,885.86

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Solution

The fourth proportional to 101,153.28, 151,760.29 and 47,885.86 is: 71,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,153.28 : 151,760.29 = 47,885.86 : x
  2. Step 2: Convert to fraction form
    101,153.28/151,760.29 = 47,885.86/x
  3. Step 3: Cross multiply
    101,153.28x = 151,760.29 × 47,885.86
  4. Step 4: Simplify right side
    101,153.28x = 7,267,171,241.70
  5. Step 5: Solve for x
    x = 7,267,171,241.70/101,153.28
  6. Step 6: Final answer
    x = 71,843.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.