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Finding the Fourth Proportional to 147,213.78, 220,824.30 and 53,719.50

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Solution

The fourth proportional to 147,213.78, 220,824.30 and 53,719.50 is: 80,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,213.78 : 220,824.30 = 53,719.50 : x
  2. Step 2: Convert to fraction form
    147,213.78/220,824.30 = 53,719.50/x
  3. Step 3: Cross multiply
    147,213.78x = 220,824.30 × 53,719.50
  4. Step 4: Simplify right side
    147,213.78x = 11,862,570,983.85
  5. Step 5: Solve for x
    x = 11,862,570,983.85/147,213.78
  6. Step 6: Final answer
    x = 80,580.57

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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.