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Finding the Fourth Proportional to 156,704.23, 216,251.85 and 85,084.30

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Solution

The fourth proportional to 156,704.23, 216,251.85 and 85,084.30 is: 117,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,704.23 : 216,251.85 = 85,084.30 : x
  2. Step 2: Convert to fraction form
    156,704.23/216,251.85 = 85,084.30/x
  3. Step 3: Cross multiply
    156,704.23x = 216,251.85 × 85,084.30
  4. Step 4: Simplify right side
    156,704.23x = 18,399,637,280.96
  5. Step 5: Solve for x
    x = 18,399,637,280.96/156,704.23
  6. Step 6: Final answer
    x = 117,416.34

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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.