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Finding the Fourth Proportional to 275,350.90, 413,026.38 and 97,864.92

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Solution

The fourth proportional to 275,350.90, 413,026.38 and 97,864.92 is: 146,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,350.90 : 413,026.38 = 97,864.92 : x
  2. Step 2: Convert to fraction form
    275,350.90/413,026.38 = 97,864.92/x
  3. Step 3: Cross multiply
    275,350.90x = 413,026.38 × 97,864.92
  4. Step 4: Simplify right side
    275,350.90x = 40,420,793,636.59
  5. Step 5: Solve for x
    x = 40,420,793,636.59/275,350.90
  6. Step 6: Final answer
    x = 146,797.39

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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.