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Finding the Fourth Proportional to 150,048.86, 207,059.74 and 82,052.61

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Solution

The fourth proportional to 150,048.86, 207,059.74 and 82,052.61 is: 113,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,048.86 : 207,059.74 = 82,052.61 : x
  2. Step 2: Convert to fraction form
    150,048.86/207,059.74 = 82,052.61/x
  3. Step 3: Cross multiply
    150,048.86x = 207,059.74 × 82,052.61
  4. Step 4: Simplify right side
    150,048.86x = 16,989,792,737.57
  5. Step 5: Solve for x
    x = 16,989,792,737.57/150,048.86
  6. Step 6: Final answer
    x = 113,228.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.