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Finding the Fourth Proportional to 156,727.96, 216,284.60 and 85,108

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Solution

The fourth proportional to 156,727.96, 216,284.60 and 85,108 is: 117,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,727.96 : 216,284.60 = 85,108 : x
  2. Step 2: Convert to fraction form
    156,727.96/216,284.60 = 85,108/x
  3. Step 3: Cross multiply
    156,727.96x = 216,284.60 × 85,108
  4. Step 4: Simplify right side
    156,727.96x = 18,407,549,736.80
  5. Step 5: Solve for x
    x = 18,407,549,736.80/156,727.96
  6. Step 6: Final answer
    x = 117,449.05

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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.