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Finding the Fourth Proportional to 156,913.18, 216,537.62 and 85,295

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Solution

The fourth proportional to 156,913.18, 216,537.62 and 85,295 is: 117,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,913.18 : 216,537.62 = 85,295 : x
  2. Step 2: Convert to fraction form
    156,913.18/216,537.62 = 85,295/x
  3. Step 3: Cross multiply
    156,913.18x = 216,537.62 × 85,295
  4. Step 4: Simplify right side
    156,913.18x = 18,469,576,297.90
  5. Step 5: Solve for x
    x = 18,469,576,297.90/156,913.18
  6. Step 6: Final answer
    x = 117,705.70

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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.