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Finding the Fourth Proportional to 180,198.38, 248,674.38 and 98,528.24

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Solution

The fourth proportional to 180,198.38, 248,674.38 and 98,528.24 is: 135,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,198.38 : 248,674.38 = 98,528.24 : x
  2. Step 2: Convert to fraction form
    180,198.38/248,674.38 = 98,528.24/x
  3. Step 3: Cross multiply
    180,198.38x = 248,674.38 × 98,528.24
  4. Step 4: Simplify right side
    180,198.38x = 24,501,448,994.49
  5. Step 5: Solve for x
    x = 24,501,448,994.49/180,198.38
  6. Step 6: Final answer
    x = 135,969.31

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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.