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Finding the Fourth Proportional to 275,596.80, 413,010.30 and 148,964.10

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Solution

The fourth proportional to 275,596.80, 413,010.30 and 148,964.10 is: 223,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,596.80 : 413,010.30 = 148,964.10 : x
  2. Step 2: Convert to fraction form
    275,596.80/413,010.30 = 148,964.10/x
  3. Step 3: Cross multiply
    275,596.80x = 413,010.30 × 148,964.10
  4. Step 4: Simplify right side
    275,596.80x = 61,523,707,630.23
  5. Step 5: Solve for x
    x = 61,523,707,630.23/275,596.80
  6. Step 6: Final answer
    x = 223,238.11

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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.