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Finding the Fourth Proportional to 165,729.70, 248,594.55 and 102,744.10

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Solution

The fourth proportional to 165,729.70, 248,594.55 and 102,744.10 is: 154,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,729.70 : 248,594.55 = 102,744.10 : x
  2. Step 2: Convert to fraction form
    165,729.70/248,594.55 = 102,744.10/x
  3. Step 3: Cross multiply
    165,729.70x = 248,594.55 × 102,744.10
  4. Step 4: Simplify right side
    165,729.70x = 25,541,623,304.66
  5. Step 5: Solve for x
    x = 25,541,623,304.66/165,729.70
  6. Step 6: Final answer
    x = 154,116.15

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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.