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Finding the Fourth Proportional to 264,419.14, 396,234.84 and 146,124.28

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Solution

The fourth proportional to 264,419.14, 396,234.84 and 146,124.28 is: 218,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,419.14 : 396,234.84 = 146,124.28 : x
  2. Step 2: Convert to fraction form
    264,419.14/396,234.84 = 146,124.28/x
  3. Step 3: Cross multiply
    264,419.14x = 396,234.84 × 146,124.28
  4. Step 4: Simplify right side
    264,419.14x = 57,899,530,705.92
  5. Step 5: Solve for x
    x = 57,899,530,705.92/264,419.14
  6. Step 6: Final answer
    x = 218,968.76

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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.