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Finding the Fourth Proportional to 223,772.80, 335,842.80 and 222,023.20

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Solution

The fourth proportional to 223,772.80, 335,842.80 and 222,023.20 is: 333,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,772.80 : 335,842.80 = 222,023.20 : x
  2. Step 2: Convert to fraction form
    223,772.80/335,842.80 = 222,023.20/x
  3. Step 3: Cross multiply
    223,772.80x = 335,842.80 × 222,023.20
  4. Step 4: Simplify right side
    223,772.80x = 74,564,893,152.96
  5. Step 5: Solve for x
    x = 74,564,893,152.96/223,772.80
  6. Step 6: Final answer
    x = 333,216.96

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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.