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Finding the Fourth Proportional to 221,147.56, 304,942.44 and 149,403

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Solution

The fourth proportional to 221,147.56, 304,942.44 and 149,403 is: 206,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,147.56 : 304,942.44 = 149,403 : x
  2. Step 2: Convert to fraction form
    221,147.56/304,942.44 = 149,403/x
  3. Step 3: Cross multiply
    221,147.56x = 304,942.44 × 149,403
  4. Step 4: Simplify right side
    221,147.56x = 45,559,315,363.32
  5. Step 5: Solve for x
    x = 45,559,315,363.32/221,147.56
  6. Step 6: Final answer
    x = 206,013.19

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