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Finding the Fourth Proportional to 243,721.80, 365,064.30 and 202,249.80

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Solution

The fourth proportional to 243,721.80, 365,064.30 and 202,249.80 is: 302,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,721.80 : 365,064.30 = 202,249.80 : x
  2. Step 2: Convert to fraction form
    243,721.80/365,064.30 = 202,249.80/x
  3. Step 3: Cross multiply
    243,721.80x = 365,064.30 × 202,249.80
  4. Step 4: Simplify right side
    243,721.80x = 73,834,181,662.14
  5. Step 5: Solve for x
    x = 73,834,181,662.14/243,721.80
  6. Step 6: Final answer
    x = 302,944.51

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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.