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Finding the Fourth Proportional to 107,297.60, 160,949.77 and 51,143.81

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Solution

The fourth proportional to 107,297.60, 160,949.77 and 51,143.81 is: 76,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,297.60 : 160,949.77 = 51,143.81 : x
  2. Step 2: Convert to fraction form
    107,297.60/160,949.77 = 51,143.81/x
  3. Step 3: Cross multiply
    107,297.60x = 160,949.77 × 51,143.81
  4. Step 4: Simplify right side
    107,297.60x = 8,231,583,523.82
  5. Step 5: Solve for x
    x = 8,231,583,523.82/107,297.60
  6. Step 6: Final answer
    x = 76,717.32

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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.