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Finding the Fourth Proportional to 193,539.60, 290,309.40 and 82,947.60

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Solution

The fourth proportional to 193,539.60, 290,309.40 and 82,947.60 is: 124,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,539.60 : 290,309.40 = 82,947.60 : x
  2. Step 2: Convert to fraction form
    193,539.60/290,309.40 = 82,947.60/x
  3. Step 3: Cross multiply
    193,539.60x = 290,309.40 × 82,947.60
  4. Step 4: Simplify right side
    193,539.60x = 24,080,467,987.44
  5. Step 5: Solve for x
    x = 24,080,467,987.44/193,539.60
  6. Step 6: Final answer
    x = 124,421.40

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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.