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Finding the Fourth Proportional to 106,969.60, 160,454.40 and 105,414.40

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Solution

The fourth proportional to 106,969.60, 160,454.40 and 105,414.40 is: 158,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,969.60 : 160,454.40 = 105,414.40 : x
  2. Step 2: Convert to fraction form
    106,969.60/160,454.40 = 105,414.40/x
  3. Step 3: Cross multiply
    106,969.60x = 160,454.40 × 105,414.40
  4. Step 4: Simplify right side
    106,969.60x = 16,914,204,303.36
  5. Step 5: Solve for x
    x = 16,914,204,303.36/106,969.60
  6. Step 6: Final answer
    x = 158,121.60

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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.