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Finding the Fourth Proportional to 243,937.80, 365,388.30 and 202,465.80

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Solution

The fourth proportional to 243,937.80, 365,388.30 and 202,465.80 is: 303,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,937.80 : 365,388.30 = 202,465.80 : x
  2. Step 2: Convert to fraction form
    243,937.80/365,388.30 = 202,465.80/x
  3. Step 3: Cross multiply
    243,937.80x = 365,388.30 × 202,465.80
  4. Step 4: Simplify right side
    243,937.80x = 73,978,634,470.14
  5. Step 5: Solve for x
    x = 73,978,634,470.14/243,937.80
  6. Step 6: Final answer
    x = 303,268.43

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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.