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Finding the Fourth Proportional to 107,369.40, 160,969.38 and 67,843.20

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Solution

The fourth proportional to 107,369.40, 160,969.38 and 67,843.20 is: 101,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,369.40 : 160,969.38 = 67,843.20 : x
  2. Step 2: Convert to fraction form
    107,369.40/160,969.38 = 67,843.20/x
  3. Step 3: Cross multiply
    107,369.40x = 160,969.38 × 67,843.20
  4. Step 4: Simplify right side
    107,369.40x = 10,920,677,841.22
  5. Step 5: Solve for x
    x = 10,920,677,841.22/107,369.40
  6. Step 6: Final answer
    x = 101,711.27

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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.