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Finding the Fourth Proportional to 203,114.91, 280,298.08 and 117,073.19

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Solution

The fourth proportional to 203,114.91, 280,298.08 and 117,073.19 is: 161,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,114.91 : 280,298.08 = 117,073.19 : x
  2. Step 2: Convert to fraction form
    203,114.91/280,298.08 = 117,073.19/x
  3. Step 3: Cross multiply
    203,114.91x = 280,298.08 × 117,073.19
  4. Step 4: Simplify right side
    203,114.91x = 32,815,389,791.11
  5. Step 5: Solve for x
    x = 32,815,389,791.11/203,114.91
  6. Step 6: Final answer
    x = 161,560.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.