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Finding the Fourth Proportional to 221,465.86, 332,251.71 and 71,706.32

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Solution

The fourth proportional to 221,465.86, 332,251.71 and 71,706.32 is: 107,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,465.86 : 332,251.71 = 71,706.32 : x
  2. Step 2: Convert to fraction form
    221,465.86/332,251.71 = 71,706.32/x
  3. Step 3: Cross multiply
    221,465.86x = 332,251.71 × 71,706.32
  4. Step 4: Simplify right side
    221,465.86x = 23,824,545,418.02
  5. Step 5: Solve for x
    x = 23,824,545,418.02/221,465.86
  6. Step 6: Final answer
    x = 107,576.61

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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.