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Finding the Fourth Proportional to 221,150.67, 331,163.19 and 146,158.44

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Solution

The fourth proportional to 221,150.67, 331,163.19 and 146,158.44 is: 218,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,150.67 : 331,163.19 = 146,158.44 : x
  2. Step 2: Convert to fraction form
    221,150.67/331,163.19 = 146,158.44/x
  3. Step 3: Cross multiply
    221,150.67x = 331,163.19 × 146,158.44
  4. Step 4: Simplify right side
    221,150.67x = 48,402,295,235.82
  5. Step 5: Solve for x
    x = 48,402,295,235.82/221,150.67
  6. Step 6: Final answer
    x = 218,865.70

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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.