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Finding the Fourth Proportional to 107,102.36, 160,697.60 and 47,099.96

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Solution

The fourth proportional to 107,102.36, 160,697.60 and 47,099.96 is: 70,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,102.36 : 160,697.60 = 47,099.96 : x
  2. Step 2: Convert to fraction form
    107,102.36/160,697.60 = 47,099.96/x
  3. Step 3: Cross multiply
    107,102.36x = 160,697.60 × 47,099.96
  4. Step 4: Simplify right side
    107,102.36x = 7,568,850,532.10
  5. Step 5: Solve for x
    x = 7,568,850,532.10/107,102.36
  6. Step 6: Final answer
    x = 70,669.32

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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.