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Finding the Fourth Proportional to 275,772.90, 413,221.95 and 182,169.30

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Solution

The fourth proportional to 275,772.90, 413,221.95 and 182,169.30 is: 272,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,772.90 : 413,221.95 = 182,169.30 : x
  2. Step 2: Convert to fraction form
    275,772.90/413,221.95 = 182,169.30/x
  3. Step 3: Cross multiply
    275,772.90x = 413,221.95 × 182,169.30
  4. Step 4: Simplify right side
    275,772.90x = 75,276,353,376.14
  5. Step 5: Solve for x
    x = 75,276,353,376.14/275,772.90
  6. Step 6: Final answer
    x = 272,965.01

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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.