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Finding the Fourth Proportional to 101,735.67, 152,406.69 and 57,227.19

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Solution

The fourth proportional to 101,735.67, 152,406.69 and 57,227.19 is: 85,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,735.67 : 152,406.69 = 57,227.19 : x
  2. Step 2: Convert to fraction form
    101,735.67/152,406.69 = 57,227.19/x
  3. Step 3: Cross multiply
    101,735.67x = 152,406.69 × 57,227.19
  4. Step 4: Simplify right side
    101,735.67x = 8,721,806,605.90
  5. Step 5: Solve for x
    x = 8,721,806,605.90/101,735.67
  6. Step 6: Final answer
    x = 85,730.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.