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Finding the Fourth Proportional to 144,065.25, 216,099.09 and 50,571

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Solution

The fourth proportional to 144,065.25, 216,099.09 and 50,571 is: 75,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,065.25 : 216,099.09 = 50,571 : x
  2. Step 2: Convert to fraction form
    144,065.25/216,099.09 = 50,571/x
  3. Step 3: Cross multiply
    144,065.25x = 216,099.09 × 50,571
  4. Step 4: Simplify right side
    144,065.25x = 10,928,347,080.39
  5. Step 5: Solve for x
    x = 10,928,347,080.39/144,065.25
  6. Step 6: Final answer
    x = 75,856.93

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