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Finding the Fourth Proportional to 165,809.73, 248,763.02 and 53,487.45

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Solution

The fourth proportional to 165,809.73, 248,763.02 and 53,487.45 is: 80,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,809.73 : 248,763.02 = 53,487.45 : x
  2. Step 2: Convert to fraction form
    165,809.73/248,763.02 = 53,487.45/x
  3. Step 3: Cross multiply
    165,809.73x = 248,763.02 × 53,487.45
  4. Step 4: Simplify right side
    165,809.73x = 13,305,699,594.10
  5. Step 5: Solve for x
    x = 13,305,699,594.10/165,809.73
  6. Step 6: Final answer
    x = 80,246.80

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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.