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Finding the Fourth Proportional to 101,996.67, 152,865.45 and 57,648.36

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Solution

The fourth proportional to 101,996.67, 152,865.45 and 57,648.36 is: 86,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996.67 : 152,865.45 = 57,648.36 : x
  2. Step 2: Convert to fraction form
    101,996.67/152,865.45 = 57,648.36/x
  3. Step 3: Cross multiply
    101,996.67x = 152,865.45 × 57,648.36
  4. Step 4: Simplify right side
    101,996.67x = 8,812,442,493.16
  5. Step 5: Solve for x
    x = 8,812,442,493.16/101,996.67
  6. Step 6: Final answer
    x = 86,399.32

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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.