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Finding the Fourth Proportional to 223,321.77, 334,794.25 and 96,866.81

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Solution

The fourth proportional to 223,321.77, 334,794.25 and 96,866.81 is: 145,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,321.77 : 334,794.25 = 96,866.81 : x
  2. Step 2: Convert to fraction form
    223,321.77/334,794.25 = 96,866.81/x
  3. Step 3: Cross multiply
    223,321.77x = 334,794.25 × 96,866.81
  4. Step 4: Simplify right side
    223,321.77x = 32,430,451,003.84
  5. Step 5: Solve for x
    x = 32,430,451,003.84/223,321.77
  6. Step 6: Final answer
    x = 145,218.49

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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.