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Finding the Fourth Proportional to 164,853.60, 246,624.30 and 142,910.70

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Solution

The fourth proportional to 164,853.60, 246,624.30 and 142,910.70 is: 213,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,853.60 : 246,624.30 = 142,910.70 : x
  2. Step 2: Convert to fraction form
    164,853.60/246,624.30 = 142,910.70/x
  3. Step 3: Cross multiply
    164,853.60x = 246,624.30 × 142,910.70
  4. Step 4: Simplify right side
    164,853.60x = 35,245,251,350.01
  5. Step 5: Solve for x
    x = 35,245,251,350.01/164,853.60
  6. Step 6: Final answer
    x = 213,797.28

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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.