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Finding the Fourth Proportional to 106,880.40, 160,147.80 and 67,366.80

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Solution

The fourth proportional to 106,880.40, 160,147.80 and 67,366.80 is: 100,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,880.40 : 160,147.80 = 67,366.80 : x
  2. Step 2: Convert to fraction form
    106,880.40/160,147.80 = 67,366.80/x
  3. Step 3: Cross multiply
    106,880.40x = 160,147.80 × 67,366.80
  4. Step 4: Simplify right side
    106,880.40x = 10,788,644,813.04
  5. Step 5: Solve for x
    x = 10,788,644,813.04/106,880.40
  6. Step 6: Final answer
    x = 100,941.28

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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.