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Finding the Fourth Proportional to 262,025.87, 392,993.17 and 84,532.86

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Solution

The fourth proportional to 262,025.87, 392,993.17 and 84,532.86 is: 126,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,025.87 : 392,993.17 = 84,532.86 : x
  2. Step 2: Convert to fraction form
    262,025.87/392,993.17 = 84,532.86/x
  3. Step 3: Cross multiply
    262,025.87x = 392,993.17 × 84,532.86
  4. Step 4: Simplify right side
    262,025.87x = 33,220,836,409.23
  5. Step 5: Solve for x
    x = 33,220,836,409.23/262,025.87
  6. Step 6: Final answer
    x = 126,784.57

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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.