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Finding the Fourth Proportional to 223,790.96, 335,919.72 and 99,219.44

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Solution

The fourth proportional to 223,790.96, 335,919.72 and 99,219.44 is: 148,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,790.96 : 335,919.72 = 99,219.44 : x
  2. Step 2: Convert to fraction form
    223,790.96/335,919.72 = 99,219.44/x
  3. Step 3: Cross multiply
    223,790.96x = 335,919.72 × 99,219.44
  4. Step 4: Simplify right side
    223,790.96x = 33,329,766,503.36
  5. Step 5: Solve for x
    x = 33,329,766,503.36/223,790.96
  6. Step 6: Final answer
    x = 148,932.59

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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.