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Finding the Fourth Proportional to 203,371.46, 280,662.93 and 117,298.43

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Solution

The fourth proportional to 203,371.46, 280,662.93 and 117,298.43 is: 161,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,371.46 : 280,662.93 = 117,298.43 : x
  2. Step 2: Convert to fraction form
    203,371.46/280,662.93 = 117,298.43/x
  3. Step 3: Cross multiply
    203,371.46x = 280,662.93 × 117,298.43
  4. Step 4: Simplify right side
    203,371.46x = 32,921,319,644.89
  5. Step 5: Solve for x
    x = 32,921,319,644.89/203,371.46
  6. Step 6: Final answer
    x = 161,877.78

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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.