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Finding the Fourth Proportional to 143,872, 198,541.08 and 80,213.68

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Solution

The fourth proportional to 143,872, 198,541.08 and 80,213.68 is: 110,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,872 : 198,541.08 = 80,213.68 : x
  2. Step 2: Convert to fraction form
    143,872/198,541.08 = 80,213.68/x
  3. Step 3: Cross multiply
    143,872x = 198,541.08 × 80,213.68
  4. Step 4: Simplify right side
    143,872x = 15,925,710,657.97
  5. Step 5: Solve for x
    x = 15,925,710,657.97/143,872
  6. Step 6: Final answer
    x = 110,693.61

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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.