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Finding the Fourth Proportional to 108,234.96, 162,355.22 and 51,295.50

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Solution

The fourth proportional to 108,234.96, 162,355.22 and 51,295.50 is: 76,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,234.96 : 162,355.22 = 51,295.50 : x
  2. Step 2: Convert to fraction form
    108,234.96/162,355.22 = 51,295.50/x
  3. Step 3: Cross multiply
    108,234.96x = 162,355.22 × 51,295.50
  4. Step 4: Simplify right side
    108,234.96x = 8,328,092,187.51
  5. Step 5: Solve for x
    x = 8,328,092,187.51/108,234.96
  6. Step 6: Final answer
    x = 76,944.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.