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Finding the Fourth Proportional to 223,732.80, 335,782.80 and 221,983.20

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Solution

The fourth proportional to 223,732.80, 335,782.80 and 221,983.20 is: 333,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,732.80 : 335,782.80 = 221,983.20 : x
  2. Step 2: Convert to fraction form
    223,732.80/335,782.80 = 221,983.20/x
  3. Step 3: Cross multiply
    223,732.80x = 335,782.80 × 221,983.20
  4. Step 4: Simplify right side
    223,732.80x = 74,538,140,448.96
  5. Step 5: Solve for x
    x = 74,538,140,448.96/223,732.80
  6. Step 6: Final answer
    x = 333,156.96

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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.