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Finding the Fourth Proportional to 275,743.22, 413,650.08 and 98,268.17

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Solution

The fourth proportional to 275,743.22, 413,650.08 and 98,268.17 is: 147,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,743.22 : 413,650.08 = 98,268.17 : x
  2. Step 2: Convert to fraction form
    275,743.22/413,650.08 = 98,268.17/x
  3. Step 3: Cross multiply
    275,743.22x = 413,650.08 × 98,268.17
  4. Step 4: Simplify right side
    275,743.22x = 40,648,634,313.70
  5. Step 5: Solve for x
    x = 40,648,634,313.70/275,743.22
  6. Step 6: Final answer
    x = 147,414.81

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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.