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Finding the Fourth Proportional to 147,201.75, 220,806.27 and 53,707.50

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Solution

The fourth proportional to 147,201.75, 220,806.27 and 53,707.50 is: 80,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,201.75 : 220,806.27 = 53,707.50 : x
  2. Step 2: Convert to fraction form
    147,201.75/220,806.27 = 53,707.50/x
  3. Step 3: Cross multiply
    147,201.75x = 220,806.27 × 53,707.50
  4. Step 4: Simplify right side
    147,201.75x = 11,858,952,746.03
  5. Step 5: Solve for x
    x = 11,858,952,746.03/147,201.75
  6. Step 6: Final answer
    x = 80,562.58

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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.