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Finding the Fourth Proportional to 223,383.80, 335,135.10 and 96,969.80

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Solution

The fourth proportional to 223,383.80, 335,135.10 and 96,969.80 is: 145,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,383.80 : 335,135.10 = 96,969.80 : x
  2. Step 2: Convert to fraction form
    223,383.80/335,135.10 = 96,969.80/x
  3. Step 3: Cross multiply
    223,383.80x = 335,135.10 × 96,969.80
  4. Step 4: Simplify right side
    223,383.80x = 32,497,983,619.98
  5. Step 5: Solve for x
    x = 32,497,983,619.98/223,383.80
  6. Step 6: Final answer
    x = 145,480.49

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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.