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Finding the Fourth Proportional to 143,076.84, 214,825.92 and 80,020.50

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Solution

The fourth proportional to 143,076.84, 214,825.92 and 80,020.50 is: 120,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,076.84 : 214,825.92 = 80,020.50 : x
  2. Step 2: Convert to fraction form
    143,076.84/214,825.92 = 80,020.50/x
  3. Step 3: Cross multiply
    143,076.84x = 214,825.92 × 80,020.50
  4. Step 4: Simplify right side
    143,076.84x = 17,190,477,531.36
  5. Step 5: Solve for x
    x = 17,190,477,531.36/143,076.84
  6. Step 6: Final answer
    x = 120,148.57

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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.