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Finding the Fourth Proportional to 221,464.86, 332,250.20 and 71,705.31

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Solution

The fourth proportional to 221,464.86, 332,250.20 and 71,705.31 is: 107,575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,464.86 : 332,250.20 = 71,705.31 : x
  2. Step 2: Convert to fraction form
    221,464.86/332,250.20 = 71,705.31/x
  3. Step 3: Cross multiply
    221,464.86x = 332,250.20 × 71,705.31
  4. Step 4: Simplify right side
    221,464.86x = 23,824,104,992.47
  5. Step 5: Solve for x
    x = 23,824,104,992.47/221,464.86
  6. Step 6: Final answer
    x = 107,575.10

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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.