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Finding the Fourth Proportional to 223,476.96, 335,083.68 and 111,152.64

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Solution

The fourth proportional to 223,476.96, 335,083.68 and 111,152.64 is: 166,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,476.96 : 335,083.68 = 111,152.64 : x
  2. Step 2: Convert to fraction form
    223,476.96/335,083.68 = 111,152.64/x
  3. Step 3: Cross multiply
    223,476.96x = 335,083.68 × 111,152.64
  4. Step 4: Simplify right side
    223,476.96x = 37,245,435,652.92
  5. Step 5: Solve for x
    x = 37,245,435,652.92/223,476.96
  6. Step 6: Final answer
    x = 166,663.43

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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.