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Finding the Fourth Proportional to 275,751.90, 413,190.45 and 182,148.30

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Solution

The fourth proportional to 275,751.90, 413,190.45 and 182,148.30 is: 272,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,751.90 : 413,190.45 = 182,148.30 : x
  2. Step 2: Convert to fraction form
    275,751.90/413,190.45 = 182,148.30/x
  3. Step 3: Cross multiply
    275,751.90x = 413,190.45 × 182,148.30
  4. Step 4: Simplify right side
    275,751.90x = 75,261,938,043.74
  5. Step 5: Solve for x
    x = 75,261,938,043.74/275,751.90
  6. Step 6: Final answer
    x = 272,933.52

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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.