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Finding the Fourth Proportional to 223,778.28, 335,814.66 and 105,483

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Solution

The fourth proportional to 223,778.28, 335,814.66 and 105,483 is: 158,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,778.28 : 335,814.66 = 105,483 : x
  2. Step 2: Convert to fraction form
    223,778.28/335,814.66 = 105,483/x
  3. Step 3: Cross multiply
    223,778.28x = 335,814.66 × 105,483
  4. Step 4: Simplify right side
    223,778.28x = 35,422,737,780.78
  5. Step 5: Solve for x
    x = 35,422,737,780.78/223,778.28
  6. Step 6: Final answer
    x = 158,293.90

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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.