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Finding the Fourth Proportional to 203,941.40, 305,918.13 and 97,336.59

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Solution

The fourth proportional to 203,941.40, 305,918.13 and 97,336.59 is: 146,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,941.40 : 305,918.13 = 97,336.59 : x
  2. Step 2: Convert to fraction form
    203,941.40/305,918.13 = 97,336.59/x
  3. Step 3: Cross multiply
    203,941.40x = 305,918.13 × 97,336.59
  4. Step 4: Simplify right side
    203,941.40x = 29,777,027,593.38
  5. Step 5: Solve for x
    x = 29,777,027,593.38/203,941.40
  6. Step 6: Final answer
    x = 146,007.76

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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.