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Finding the Fourth Proportional to 107,930.80, 161,896.20 and 97,433.20

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Solution

The fourth proportional to 107,930.80, 161,896.20 and 97,433.20 is: 146,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,930.80 : 161,896.20 = 97,433.20 : x
  2. Step 2: Convert to fraction form
    107,930.80/161,896.20 = 97,433.20/x
  3. Step 3: Cross multiply
    107,930.80x = 161,896.20 × 97,433.20
  4. Step 4: Simplify right side
    107,930.80x = 15,774,064,833.84
  5. Step 5: Solve for x
    x = 15,774,064,833.84/107,930.80
  6. Step 6: Final answer
    x = 146,149.80

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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.