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Finding the Fourth Proportional to 223,809.44, 335,414.68 and 109,782.90

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Solution

The fourth proportional to 223,809.44, 335,414.68 and 109,782.90 is: 164,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,809.44 : 335,414.68 = 109,782.90 : x
  2. Step 2: Convert to fraction form
    223,809.44/335,414.68 = 109,782.90/x
  3. Step 3: Cross multiply
    223,809.44x = 335,414.68 × 109,782.90
  4. Step 4: Simplify right side
    223,809.44x = 36,822,795,998.51
  5. Step 5: Solve for x
    x = 36,822,795,998.51/223,809.44
  6. Step 6: Final answer
    x = 164,527.45

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1.5x scale

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.