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Finding the Fourth Proportional to 101,156.24, 151,753.86 and 38,821.88

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Solution

The fourth proportional to 101,156.24, 151,753.86 and 38,821.88 is: 58,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,156.24 : 151,753.86 = 38,821.88 : x
  2. Step 2: Convert to fraction form
    101,156.24/151,753.86 = 38,821.88/x
  3. Step 3: Cross multiply
    101,156.24x = 151,753.86 × 38,821.88
  4. Step 4: Simplify right side
    101,156.24x = 5,891,369,383.69
  5. Step 5: Solve for x
    x = 5,891,369,383.69/101,156.24
  6. Step 6: Final answer
    x = 58,240.30

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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.