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Finding the Fourth Proportional to 156,076.38, 215,383.74 and 84,454.80

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Solution

The fourth proportional to 156,076.38, 215,383.74 and 84,454.80 is: 116,546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,076.38 : 215,383.74 = 84,454.80 : x
  2. Step 2: Convert to fraction form
    156,076.38/215,383.74 = 84,454.80/x
  3. Step 3: Cross multiply
    156,076.38x = 215,383.74 × 84,454.80
  4. Step 4: Simplify right side
    156,076.38x = 18,190,190,684.95
  5. Step 5: Solve for x
    x = 18,190,190,684.95/156,076.38
  6. Step 6: Final answer
    x = 116,546.72

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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.