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Finding the Fourth Proportional to 201,793, 278,474.34 and 116,959.27

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Solution

The fourth proportional to 201,793, 278,474.34 and 116,959.27 is: 161,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793 : 278,474.34 = 116,959.27 : x
  2. Step 2: Convert to fraction form
    201,793/278,474.34 = 116,959.27/x
  3. Step 3: Cross multiply
    201,793x = 278,474.34 × 116,959.27
  4. Step 4: Simplify right side
    201,793x = 32,570,155,520.13
  5. Step 5: Solve for x
    x = 32,570,155,520.13/201,793
  6. Step 6: Final answer
    x = 161,403.79

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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.