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Finding the Fourth Proportional to 223,778.24, 335,551.80 and 65,986.64

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Solution

The fourth proportional to 223,778.24, 335,551.80 and 65,986.64 is: 98,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,778.24 : 335,551.80 = 65,986.64 : x
  2. Step 2: Convert to fraction form
    223,778.24/335,551.80 = 65,986.64/x
  3. Step 3: Cross multiply
    223,778.24x = 335,551.80 × 65,986.64
  4. Step 4: Simplify right side
    223,778.24x = 22,141,935,827.95
  5. Step 5: Solve for x
    x = 22,141,935,827.95/223,778.24
  6. Step 6: Final answer
    x = 98,945.88

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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.