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Finding the Fourth Proportional to 107,288.40, 160,932.60 and 68,019.60

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Solution

The fourth proportional to 107,288.40, 160,932.60 and 68,019.60 is: 102,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,288.40 : 160,932.60 = 68,019.60 : x
  2. Step 2: Convert to fraction form
    107,288.40/160,932.60 = 68,019.60/x
  3. Step 3: Cross multiply
    107,288.40x = 160,932.60 × 68,019.60
  4. Step 4: Simplify right side
    107,288.40x = 10,946,571,078.96
  5. Step 5: Solve for x
    x = 10,946,571,078.96/107,288.40
  6. Step 6: Final answer
    x = 102,029.40

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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.