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Finding the Fourth Proportional to 156,857.27, 216,458.66 and 85,234.91

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Solution

The fourth proportional to 156,857.27, 216,458.66 and 85,234.91 is: 117,621.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,857.27 : 216,458.66 = 85,234.91 : x
  2. Step 2: Convert to fraction form
    156,857.27/216,458.66 = 85,234.91/x
  3. Step 3: Cross multiply
    156,857.27x = 216,458.66 × 85,234.91
  4. Step 4: Simplify right side
    156,857.27x = 18,449,833,534.61
  5. Step 5: Solve for x
    x = 18,449,833,534.61/156,857.27
  6. Step 6: Final answer
    x = 117,621.80

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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.