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Finding the Fourth Proportional to 164,020.80, 246,031.20 and 53,212.80

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Solution

The fourth proportional to 164,020.80, 246,031.20 and 53,212.80 is: 79,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,020.80 : 246,031.20 = 53,212.80 : x
  2. Step 2: Convert to fraction form
    164,020.80/246,031.20 = 53,212.80/x
  3. Step 3: Cross multiply
    164,020.80x = 246,031.20 × 53,212.80
  4. Step 4: Simplify right side
    164,020.80x = 13,092,009,039.36
  5. Step 5: Solve for x
    x = 13,092,009,039.36/164,020.80
  6. Step 6: Final answer
    x = 79,819.20

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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.