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Finding the Fourth Proportional to 107,896.80, 161,845.20 and 107,205.60

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Solution

The fourth proportional to 107,896.80, 161,845.20 and 107,205.60 is: 160,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,896.80 : 161,845.20 = 107,205.60 : x
  2. Step 2: Convert to fraction form
    107,896.80/161,845.20 = 107,205.60/x
  3. Step 3: Cross multiply
    107,896.80x = 161,845.20 × 107,205.60
  4. Step 4: Simplify right side
    107,896.80x = 17,350,711,773.12
  5. Step 5: Solve for x
    x = 17,350,711,773.12/107,896.80
  6. Step 6: Final answer
    x = 160,808.40

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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.