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Finding the Fourth Proportional to 165,697.60, 248,584.96 and 47,370.56

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Solution

The fourth proportional to 165,697.60, 248,584.96 and 47,370.56 is: 71,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,697.60 : 248,584.96 = 47,370.56 : x
  2. Step 2: Convert to fraction form
    165,697.60/248,584.96 = 47,370.56/x
  3. Step 3: Cross multiply
    165,697.60x = 248,584.96 × 47,370.56
  4. Step 4: Simplify right side
    165,697.60x = 11,775,608,762.78
  5. Step 5: Solve for x
    x = 11,775,608,762.78/165,697.60
  6. Step 6: Final answer
    x = 71,066.86

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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.