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Finding the Fourth Proportional to 156,638.16, 216,160.85 and 85,018.21

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Solution

The fourth proportional to 156,638.16, 216,160.85 and 85,018.21 is: 117,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,638.16 : 216,160.85 = 85,018.21 : x
  2. Step 2: Convert to fraction form
    156,638.16/216,160.85 = 85,018.21/x
  3. Step 3: Cross multiply
    156,638.16x = 216,160.85 × 85,018.21
  4. Step 4: Simplify right side
    156,638.16x = 18,377,608,211.22
  5. Step 5: Solve for x
    x = 18,377,608,211.22/156,638.16
  6. Step 6: Final answer
    x = 117,325.23

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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.