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Finding the Fourth Proportional to 202,048, 278,945.84 and 179,630.08

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Solution

The fourth proportional to 202,048, 278,945.84 and 179,630.08 is: 247,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,048 : 278,945.84 = 179,630.08 : x
  2. Step 2: Convert to fraction form
    202,048/278,945.84 = 179,630.08/x
  3. Step 3: Cross multiply
    202,048x = 278,945.84 × 179,630.08
  4. Step 4: Simplify right side
    202,048x = 50,107,063,554.87
  5. Step 5: Solve for x
    x = 50,107,063,554.87/202,048
  6. Step 6: Final answer
    x = 247,995.84

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