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Finding the Fourth Proportional to 203,393.14, 280,669.17 and 113,951.86

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Solution

The fourth proportional to 203,393.14, 280,669.17 and 113,951.86 is: 157,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,393.14 : 280,669.17 = 113,951.86 : x
  2. Step 2: Convert to fraction form
    203,393.14/280,669.17 = 113,951.86/x
  3. Step 3: Cross multiply
    203,393.14x = 280,669.17 × 113,951.86
  4. Step 4: Simplify right side
    203,393.14x = 31,982,773,966.16
  5. Step 5: Solve for x
    x = 31,982,773,966.16/203,393.14
  6. Step 6: Final answer
    x = 157,246.08

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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.