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Finding the Fourth Proportional to 223,783.22, 335,672.67 and 105,389.78

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Solution

The fourth proportional to 223,783.22, 335,672.67 and 105,389.78 is: 158,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,783.22 : 335,672.67 = 105,389.78 : x
  2. Step 2: Convert to fraction form
    223,783.22/335,672.67 = 105,389.78/x
  3. Step 3: Cross multiply
    223,783.22x = 335,672.67 × 105,389.78
  4. Step 4: Simplify right side
    223,783.22x = 35,376,468,843.31
  5. Step 5: Solve for x
    x = 35,376,468,843.31/223,783.22
  6. Step 6: Final answer
    x = 158,083.65

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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.