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Finding the Fourth Proportional to 264,269.25, 396,462.20 and 98,057.25

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Solution

The fourth proportional to 264,269.25, 396,462.20 and 98,057.25 is: 147,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,269.25 : 396,462.20 = 98,057.25 : x
  2. Step 2: Convert to fraction form
    264,269.25/396,462.20 = 98,057.25/x
  3. Step 3: Cross multiply
    264,269.25x = 396,462.20 × 98,057.25
  4. Step 4: Simplify right side
    264,269.25x = 38,875,992,570.66
  5. Step 5: Solve for x
    x = 38,875,992,570.66/264,269.25
  6. Step 6: Final answer
    x = 147,107.51

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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.