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Finding the Fourth Proportional to 143,971, 198,680.16 and 80,312.86

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Solution

The fourth proportional to 143,971, 198,680.16 and 80,312.86 is: 110,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,971 : 198,680.16 = 80,312.86 : x
  2. Step 2: Convert to fraction form
    143,971/198,680.16 = 80,312.86/x
  3. Step 3: Cross multiply
    143,971x = 198,680.16 × 80,312.86
  4. Step 4: Simplify right side
    143,971x = 15,956,571,874.86
  5. Step 5: Solve for x
    x = 15,956,571,874.86/143,971
  6. Step 6: Final answer
    x = 110,831.85

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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.