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Finding the Fourth Proportional to 204,983.70, 307,475.55 and 169,991.70

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Solution

The fourth proportional to 204,983.70, 307,475.55 and 169,991.70 is: 254,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,983.70 : 307,475.55 = 169,991.70 : x
  2. Step 2: Convert to fraction form
    204,983.70/307,475.55 = 169,991.70/x
  3. Step 3: Cross multiply
    204,983.70x = 307,475.55 × 169,991.70
  4. Step 4: Simplify right side
    204,983.70x = 52,268,291,452.94
  5. Step 5: Solve for x
    x = 52,268,291,452.94/204,983.70
  6. Step 6: Final answer
    x = 254,987.55

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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.