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Finding the Fourth Proportional to 164,031.20, 246,046.80 and 143,295.20

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Solution

The fourth proportional to 164,031.20, 246,046.80 and 143,295.20 is: 214,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,031.20 : 246,046.80 = 143,295.20 : x
  2. Step 2: Convert to fraction form
    164,031.20/246,046.80 = 143,295.20/x
  3. Step 3: Cross multiply
    164,031.20x = 246,046.80 × 143,295.20
  4. Step 4: Simplify right side
    164,031.20x = 35,257,325,415.36
  5. Step 5: Solve for x
    x = 35,257,325,415.36/164,031.20
  6. Step 6: Final answer
    x = 214,942.80

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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.