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Finding the Fourth Proportional to 156,697.44, 216,238.32 and 85,076.16

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Solution

The fourth proportional to 156,697.44, 216,238.32 and 85,076.16 is: 117,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,697.44 : 216,238.32 = 85,076.16 : x
  2. Step 2: Convert to fraction form
    156,697.44/216,238.32 = 85,076.16/x
  3. Step 3: Cross multiply
    156,697.44x = 216,238.32 × 85,076.16
  4. Step 4: Simplify right side
    156,697.44x = 18,396,725,910.45
  5. Step 5: Solve for x
    x = 18,396,725,910.45/156,697.44
  6. Step 6: Final answer
    x = 117,402.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.