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Finding the Fourth Proportional to 156,814.35, 216,402.65 and 85,194.96

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Solution

The fourth proportional to 156,814.35, 216,402.65 and 85,194.96 is: 117,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,814.35 : 216,402.65 = 85,194.96 : x
  2. Step 2: Convert to fraction form
    156,814.35/216,402.65 = 85,194.96/x
  3. Step 3: Cross multiply
    156,814.35x = 216,402.65 × 85,194.96
  4. Step 4: Simplify right side
    156,814.35x = 18,436,415,004.15
  5. Step 5: Solve for x
    x = 18,436,415,004.15/156,814.35
  6. Step 6: Final answer
    x = 117,568.42

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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.