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Finding the Fourth Proportional to 223,614.12, 335,493.54 and 65,843.40

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Solution

The fourth proportional to 223,614.12, 335,493.54 and 65,843.40 is: 98,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,614.12 : 335,493.54 = 65,843.40 : x
  2. Step 2: Convert to fraction form
    223,614.12/335,493.54 = 65,843.40/x
  3. Step 3: Cross multiply
    223,614.12x = 335,493.54 × 65,843.40
  4. Step 4: Simplify right side
    223,614.12x = 22,090,035,351.64
  5. Step 5: Solve for x
    x = 22,090,035,351.64/223,614.12
  6. Step 6: Final answer
    x = 98,786.41

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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.