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Finding the Fourth Proportional to 221,147.29, 305,248.90 and 143,620.84

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Solution

The fourth proportional to 221,147.29, 305,248.90 and 143,620.84 is: 198,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,147.29 : 305,248.90 = 143,620.84 : x
  2. Step 2: Convert to fraction form
    221,147.29/305,248.90 = 143,620.84/x
  3. Step 3: Cross multiply
    221,147.29x = 305,248.90 × 143,620.84
  4. Step 4: Simplify right side
    221,147.29x = 43,840,102,304.90
  5. Step 5: Solve for x
    x = 43,840,102,304.90/221,147.29
  6. Step 6: Final answer
    x = 198,239.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.