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Finding the Fourth Proportional to 223,672.08, 335,497.17 and 83,419.77

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Solution

The fourth proportional to 223,672.08, 335,497.17 and 83,419.77 is: 125,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,672.08 : 335,497.17 = 83,419.77 : x
  2. Step 2: Convert to fraction form
    223,672.08/335,497.17 = 83,419.77/x
  3. Step 3: Cross multiply
    223,672.08x = 335,497.17 × 83,419.77
  4. Step 4: Simplify right side
    223,672.08x = 27,987,096,757.05
  5. Step 5: Solve for x
    x = 27,987,096,757.05/223,672.08
  6. Step 6: Final answer
    x = 125,125.57

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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.