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Finding the Fourth Proportional to 221,412.40, 332,215.80 and 103,022.80

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Solution

The fourth proportional to 221,412.40, 332,215.80 and 103,022.80 is: 154,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,412.40 : 332,215.80 = 103,022.80 : x
  2. Step 2: Convert to fraction form
    221,412.40/332,215.80 = 103,022.80/x
  3. Step 3: Cross multiply
    221,412.40x = 332,215.80 × 103,022.80
  4. Step 4: Simplify right side
    221,412.40x = 34,225,801,920.24
  5. Step 5: Solve for x
    x = 34,225,801,920.24/221,412.40
  6. Step 6: Final answer
    x = 154,579.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.