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Finding the Fourth Proportional to 223,867.83, 334,163.83 and 197,296.59

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Solution

The fourth proportional to 223,867.83, 334,163.83 and 197,296.59 is: 294,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,867.83 : 334,163.83 = 197,296.59 : x
  2. Step 2: Convert to fraction form
    223,867.83/334,163.83 = 197,296.59/x
  3. Step 3: Cross multiply
    223,867.83x = 334,163.83 × 197,296.59
  4. Step 4: Simplify right side
    223,867.83x = 65,929,383,667.10
  5. Step 5: Solve for x
    x = 65,929,383,667.10/223,867.83
  6. Step 6: Final answer
    x = 294,501.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.