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Finding the Fourth Proportional to 220,551.66, 330,860.30 and 102,234.96

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Solution

The fourth proportional to 220,551.66, 330,860.30 and 102,234.96 is: 153,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,551.66 : 330,860.30 = 102,234.96 : x
  2. Step 2: Convert to fraction form
    220,551.66/330,860.30 = 102,234.96/x
  3. Step 3: Cross multiply
    220,551.66x = 330,860.30 × 102,234.96
  4. Step 4: Simplify right side
    220,551.66x = 33,825,489,024.91
  5. Step 5: Solve for x
    x = 33,825,489,024.91/220,551.66
  6. Step 6: Final answer
    x = 153,367.65

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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.