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Finding the Fourth Proportional to 147,442.25, 221,163.38 and 36,634.25

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Solution

The fourth proportional to 147,442.25, 221,163.38 and 36,634.25 is: 54,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,442.25 : 221,163.38 = 36,634.25 : x
  2. Step 2: Convert to fraction form
    147,442.25/221,163.38 = 36,634.25/x
  3. Step 3: Cross multiply
    147,442.25x = 221,163.38 × 36,634.25
  4. Step 4: Simplify right side
    147,442.25x = 8,102,154,553.77
  5. Step 5: Solve for x
    x = 8,102,154,553.77/147,442.25
  6. Step 6: Final answer
    x = 54,951.38

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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.