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Finding the Fourth Proportional to 203,241, 280,020.92 and 134,207.86

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Solution

The fourth proportional to 203,241, 280,020.92 and 134,207.86 is: 184,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,241 : 280,020.92 = 134,207.86 : x
  2. Step 2: Convert to fraction form
    203,241/280,020.92 = 134,207.86/x
  3. Step 3: Cross multiply
    203,241x = 280,020.92 × 134,207.86
  4. Step 4: Simplify right side
    203,241x = 37,581,008,428.43
  5. Step 5: Solve for x
    x = 37,581,008,428.43/203,241
  6. Step 6: Final answer
    x = 184,908.60

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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.