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Finding the Fourth Proportional to 106,267.20, 159,055.20 and 82,766.40

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Solution

The fourth proportional to 106,267.20, 159,055.20 and 82,766.40 is: 123,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,267.20 : 159,055.20 = 82,766.40 : x
  2. Step 2: Convert to fraction form
    106,267.20/159,055.20 = 82,766.40/x
  3. Step 3: Cross multiply
    106,267.20x = 159,055.20 × 82,766.40
  4. Step 4: Simplify right side
    106,267.20x = 13,164,426,305.28
  5. Step 5: Solve for x
    x = 13,164,426,305.28/106,267.20
  6. Step 6: Final answer
    x = 123,880.43

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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.