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Finding the Fourth Proportional to 165,956.80, 248,935.20 and 55,148.80

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Solution

The fourth proportional to 165,956.80, 248,935.20 and 55,148.80 is: 82,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,956.80 : 248,935.20 = 55,148.80 : x
  2. Step 2: Convert to fraction form
    165,956.80/248,935.20 = 55,148.80/x
  3. Step 3: Cross multiply
    165,956.80x = 248,935.20 × 55,148.80
  4. Step 4: Simplify right side
    165,956.80x = 13,728,477,557.76
  5. Step 5: Solve for x
    x = 13,728,477,557.76/165,956.80
  6. Step 6: Final answer
    x = 82,723.20

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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.