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Finding the Fourth Proportional to 241,268.96, 333,123.72 and 160,886

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Solution

The fourth proportional to 241,268.96, 333,123.72 and 160,886 is: 222,137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,268.96 : 333,123.72 = 160,886 : x
  2. Step 2: Convert to fraction form
    241,268.96/333,123.72 = 160,886/x
  3. Step 3: Cross multiply
    241,268.96x = 333,123.72 × 160,886
  4. Step 4: Simplify right side
    241,268.96x = 53,594,942,815.92
  5. Step 5: Solve for x
    x = 53,594,942,815.92/241,268.96
  6. Step 6: Final answer
    x = 222,137.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.