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Finding the Fourth Proportional to 496,743.80, 745,118.13 and 181,200.20

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Solution

The fourth proportional to 496,743.80, 745,118.13 and 181,200.20 is: 271,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,743.80 : 745,118.13 = 181,200.20 : x
  2. Step 2: Convert to fraction form
    496,743.80/745,118.13 = 181,200.20/x
  3. Step 3: Cross multiply
    496,743.80x = 745,118.13 × 181,200.20
  4. Step 4: Simplify right side
    496,743.80x = 135,015,554,179.63
  5. Step 5: Solve for x
    x = 135,015,554,179.63/496,743.80
  6. Step 6: Final answer
    x = 271,801.19

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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.