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Finding the Fourth Proportional to 223,544.41, 335,464.32 and 105,249.58

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Solution

The fourth proportional to 223,544.41, 335,464.32 and 105,249.58 is: 157,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,544.41 : 335,464.32 = 105,249.58 : x
  2. Step 2: Convert to fraction form
    223,544.41/335,464.32 = 105,249.58/x
  3. Step 3: Cross multiply
    223,544.41x = 335,464.32 × 105,249.58
  4. Step 4: Simplify right side
    223,544.41x = 35,307,478,784.99
  5. Step 5: Solve for x
    x = 35,307,478,784.99/223,544.41
  6. Step 6: Final answer
    x = 157,943.91

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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.