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Finding the Fourth Proportional to 107,091.20, 160,809.60 and 80,825.60

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Solution

The fourth proportional to 107,091.20, 160,809.60 and 80,825.60 is: 121,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,091.20 : 160,809.60 = 80,825.60 : x
  2. Step 2: Convert to fraction form
    107,091.20/160,809.60 = 80,825.60/x
  3. Step 3: Cross multiply
    107,091.20x = 160,809.60 × 80,825.60
  4. Step 4: Simplify right side
    107,091.20x = 12,997,532,405.76
  5. Step 5: Solve for x
    x = 12,997,532,405.76/107,091.20
  6. Step 6: Final answer
    x = 121,368.82

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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.