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Finding the Fourth Proportional to 147,834, 204,010.92 and 80,766

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Solution

The fourth proportional to 147,834, 204,010.92 and 80,766 is: 111,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,834 : 204,010.92 = 80,766 : x
  2. Step 2: Convert to fraction form
    147,834/204,010.92 = 80,766/x
  3. Step 3: Cross multiply
    147,834x = 204,010.92 × 80,766
  4. Step 4: Simplify right side
    147,834x = 16,477,145,964.72
  5. Step 5: Solve for x
    x = 16,477,145,964.72/147,834
  6. Step 6: Final answer
    x = 111,457.08

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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.