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Finding the Fourth Proportional to 223,819.84, 335,280.06 and 111,159.28

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Solution

The fourth proportional to 223,819.84, 335,280.06 and 111,159.28 is: 166,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,819.84 : 335,280.06 = 111,159.28 : x
  2. Step 2: Convert to fraction form
    223,819.84/335,280.06 = 111,159.28/x
  3. Step 3: Cross multiply
    223,819.84x = 335,280.06 × 111,159.28
  4. Step 4: Simplify right side
    223,819.84x = 37,269,490,067.96
  5. Step 5: Solve for x
    x = 37,269,490,067.96/223,819.84
  6. Step 6: Final answer
    x = 166,515.58

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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.