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Finding the Fourth Proportional to 165,748.80, 248,623.20 and 54,940.80

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Solution

The fourth proportional to 165,748.80, 248,623.20 and 54,940.80 is: 82,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,748.80 : 248,623.20 = 54,940.80 : x
  2. Step 2: Convert to fraction form
    165,748.80/248,623.20 = 54,940.80/x
  3. Step 3: Cross multiply
    165,748.80x = 248,623.20 × 54,940.80
  4. Step 4: Simplify right side
    165,748.80x = 13,659,557,506.56
  5. Step 5: Solve for x
    x = 13,659,557,506.56/165,748.80
  6. Step 6: Final answer
    x = 82,411.20

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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.