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Finding the Fourth Proportional to 165,991.80, 248,987.70 and 47,652.60

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Solution

The fourth proportional to 165,991.80, 248,987.70 and 47,652.60 is: 71,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,991.80 : 248,987.70 = 47,652.60 : x
  2. Step 2: Convert to fraction form
    165,991.80/248,987.70 = 47,652.60/x
  3. Step 3: Cross multiply
    165,991.80x = 248,987.70 × 47,652.60
  4. Step 4: Simplify right side
    165,991.80x = 11,864,911,273.02
  5. Step 5: Solve for x
    x = 11,864,911,273.02/165,991.80
  6. Step 6: Final answer
    x = 71,478.90

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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.