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Finding the Fourth Proportional to 129,022.50, 178,044.96 and 71,665.51

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Solution

The fourth proportional to 129,022.50, 178,044.96 and 71,665.51 is: 98,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,022.50 : 178,044.96 = 71,665.51 : x
  2. Step 2: Convert to fraction form
    129,022.50/178,044.96 = 71,665.51/x
  3. Step 3: Cross multiply
    129,022.50x = 178,044.96 × 71,665.51
  4. Step 4: Simplify right side
    129,022.50x = 12,759,682,861.33
  5. Step 5: Solve for x
    x = 12,759,682,861.33/129,022.50
  6. Step 6: Final answer
    x = 98,895.02

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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.