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Finding the Fourth Proportional to 223,853.40, 335,741.70 and 83,539.80

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Solution

The fourth proportional to 223,853.40, 335,741.70 and 83,539.80 is: 125,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,853.40 : 335,741.70 = 83,539.80 : x
  2. Step 2: Convert to fraction form
    223,853.40/335,741.70 = 83,539.80/x
  3. Step 3: Cross multiply
    223,853.40x = 335,741.70 × 83,539.80
  4. Step 4: Simplify right side
    223,853.40x = 28,047,794,469.66
  5. Step 5: Solve for x
    x = 28,047,794,469.66/223,853.40
  6. Step 6: Final answer
    x = 125,295.37

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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.