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Finding the Fourth Proportional to 164,620.65, 246,930.98 and 146,249.85

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Solution

The fourth proportional to 164,620.65, 246,930.98 and 146,249.85 is: 219,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,620.65 : 246,930.98 = 146,249.85 : x
  2. Step 2: Convert to fraction form
    164,620.65/246,930.98 = 146,249.85/x
  3. Step 3: Cross multiply
    164,620.65x = 246,930.98 × 146,249.85
  4. Step 4: Simplify right side
    164,620.65x = 36,113,618,054.10
  5. Step 5: Solve for x
    x = 36,113,618,054.10/164,620.65
  6. Step 6: Final answer
    x = 219,374.78

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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.