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Finding the Fourth Proportional to 147,211.78, 220,821.30 and 53,717.50

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Solution

The fourth proportional to 147,211.78, 220,821.30 and 53,717.50 is: 80,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,211.78 : 220,821.30 = 53,717.50 : x
  2. Step 2: Convert to fraction form
    147,211.78/220,821.30 = 53,717.50/x
  3. Step 3: Cross multiply
    147,211.78x = 220,821.30 × 53,717.50
  4. Step 4: Simplify right side
    147,211.78x = 11,861,968,182.75
  5. Step 5: Solve for x
    x = 11,861,968,182.75/147,211.78
  6. Step 6: Final answer
    x = 80,577.57

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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.