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Finding the Fourth Proportional to 202,269.75, 301,866.62 and 179,850.16

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Solution

The fourth proportional to 202,269.75, 301,866.62 and 179,850.16 is: 268,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,269.75 : 301,866.62 = 179,850.16 : x
  2. Step 2: Convert to fraction form
    202,269.75/301,866.62 = 179,850.16/x
  3. Step 3: Cross multiply
    202,269.75x = 301,866.62 × 179,850.16
  4. Step 4: Simplify right side
    202,269.75x = 54,290,759,905.66
  5. Step 5: Solve for x
    x = 54,290,759,905.66/202,269.75
  6. Step 6: Final answer
    x = 268,407.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.