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Finding the Fourth Proportional to 201,793.50, 278,475.03 and 116,959.77

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Solution

The fourth proportional to 201,793.50, 278,475.03 and 116,959.77 is: 161,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793.50 : 278,475.03 = 116,959.77 : x
  2. Step 2: Convert to fraction form
    201,793.50/278,475.03 = 116,959.77/x
  3. Step 3: Cross multiply
    201,793.50x = 278,475.03 × 116,959.77
  4. Step 4: Simplify right side
    201,793.50x = 32,570,375,459.54
  5. Step 5: Solve for x
    x = 32,570,375,459.54/201,793.50
  6. Step 6: Final answer
    x = 161,404.48

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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.