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Finding the Fourth Proportional to 156,340.22, 215,748.96 and 84,722

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Solution

The fourth proportional to 156,340.22, 215,748.96 and 84,722 is: 116,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,340.22 : 215,748.96 = 84,722 : x
  2. Step 2: Convert to fraction form
    156,340.22/215,748.96 = 84,722/x
  3. Step 3: Cross multiply
    156,340.22x = 215,748.96 × 84,722
  4. Step 4: Simplify right side
    156,340.22x = 18,278,683,389.12
  5. Step 5: Solve for x
    x = 18,278,683,389.12/156,340.22
  6. Step 6: Final answer
    x = 116,916.07

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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.