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Finding the Fourth Proportional to 221,762.48, 332,561.70 and 72,007.65

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Solution

The fourth proportional to 221,762.48, 332,561.70 and 72,007.65 is: 107,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,762.48 : 332,561.70 = 72,007.65 : x
  2. Step 2: Convert to fraction form
    221,762.48/332,561.70 = 72,007.65/x
  3. Step 3: Cross multiply
    221,762.48x = 332,561.70 × 72,007.65
  4. Step 4: Simplify right side
    221,762.48x = 23,946,986,497.01
  5. Step 5: Solve for x
    x = 23,946,986,497.01/221,762.48
  6. Step 6: Final answer
    x = 107,984.85

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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.