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Finding the Fourth Proportional to 179,652.96, 269,537.76 and 86,166

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Solution

The fourth proportional to 179,652.96, 269,537.76 and 86,166 is: 129,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,652.96 : 269,537.76 = 86,166 : x
  2. Step 2: Convert to fraction form
    179,652.96/269,537.76 = 86,166/x
  3. Step 3: Cross multiply
    179,652.96x = 269,537.76 × 86,166
  4. Step 4: Simplify right side
    179,652.96x = 23,224,990,628.16
  5. Step 5: Solve for x
    x = 23,224,990,628.16/179,652.96
  6. Step 6: Final answer
    x = 129,276.97

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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.