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Finding the Fourth Proportional to 101,074.71, 151,409.09 and 50,320.82

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Solution

The fourth proportional to 101,074.71, 151,409.09 and 50,320.82 is: 75,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,074.71 : 151,409.09 = 50,320.82 : x
  2. Step 2: Convert to fraction form
    101,074.71/151,409.09 = 50,320.82/x
  3. Step 3: Cross multiply
    101,074.71x = 151,409.09 × 50,320.82
  4. Step 4: Simplify right side
    101,074.71x = 7,619,029,691.17
  5. Step 5: Solve for x
    x = 7,619,029,691.17/101,074.71
  6. Step 6: Final answer
    x = 75,380.18

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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.