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Finding the Fourth Proportional to 221,957.74, 332,986.38 and 64,198.45

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Solution

The fourth proportional to 221,957.74, 332,986.38 and 64,198.45 is: 96,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,957.74 : 332,986.38 = 64,198.45 : x
  2. Step 2: Convert to fraction form
    221,957.74/332,986.38 = 64,198.45/x
  3. Step 3: Cross multiply
    221,957.74x = 332,986.38 × 64,198.45
  4. Step 4: Simplify right side
    221,957.74x = 21,377,209,467.11
  5. Step 5: Solve for x
    x = 21,377,209,467.11/221,957.74
  6. Step 6: Final answer
    x = 96,312.07

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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.