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Finding the Fourth Proportional to 173,865.20, 260,797.80 and 102,714.80

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Solution

The fourth proportional to 173,865.20, 260,797.80 and 102,714.80 is: 154,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,865.20 : 260,797.80 = 102,714.80 : x
  2. Step 2: Convert to fraction form
    173,865.20/260,797.80 = 102,714.80/x
  3. Step 3: Cross multiply
    173,865.20x = 260,797.80 × 102,714.80
  4. Step 4: Simplify right side
    173,865.20x = 26,787,793,867.44
  5. Step 5: Solve for x
    x = 26,787,793,867.44/173,865.20
  6. Step 6: Final answer
    x = 154,072.20

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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.