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Finding the Fourth Proportional to 156,695.68, 216,238.80 and 85,074.24

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Solution

The fourth proportional to 156,695.68, 216,238.80 and 85,074.24 is: 117,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,695.68 : 216,238.80 = 85,074.24 : x
  2. Step 2: Convert to fraction form
    156,695.68/216,238.80 = 85,074.24/x
  3. Step 3: Cross multiply
    156,695.68x = 216,238.80 × 85,074.24
  4. Step 4: Simplify right side
    156,695.68x = 18,396,351,568.51
  5. Step 5: Solve for x
    x = 18,396,351,568.51/156,695.68
  6. Step 6: Final answer
    x = 117,401.78

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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.