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Finding the Fourth Proportional to 164,449.60, 246,789.60 and 71,022.40

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Solution

The fourth proportional to 164,449.60, 246,789.60 and 71,022.40 is: 106,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,449.60 : 246,789.60 = 71,022.40 : x
  2. Step 2: Convert to fraction form
    164,449.60/246,789.60 = 71,022.40/x
  3. Step 3: Cross multiply
    164,449.60x = 246,789.60 × 71,022.40
  4. Step 4: Simplify right side
    164,449.60x = 17,527,589,687.04
  5. Step 5: Solve for x
    x = 17,527,589,687.04/164,449.60
  6. Step 6: Final answer
    x = 106,583.35

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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.