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Finding the Fourth Proportional to 101,314.58, 151,949.47 and 29,251.83

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Solution

The fourth proportional to 101,314.58, 151,949.47 and 29,251.83 is: 43,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,314.58 : 151,949.47 = 29,251.83 : x
  2. Step 2: Convert to fraction form
    101,314.58/151,949.47 = 29,251.83/x
  3. Step 3: Cross multiply
    101,314.58x = 151,949.47 × 29,251.83
  4. Step 4: Simplify right side
    101,314.58x = 4,444,799,991.90
  5. Step 5: Solve for x
    x = 4,444,799,991.90/101,314.58
  6. Step 6: Final answer
    x = 43,871.28

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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.