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Finding the Fourth Proportional to 202,698.70, 303,632.94 and 113,765.44

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Solution

The fourth proportional to 202,698.70, 303,632.94 and 113,765.44 is: 170,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,698.70 : 303,632.94 = 113,765.44 : x
  2. Step 2: Convert to fraction form
    202,698.70/303,632.94 = 113,765.44/x
  3. Step 3: Cross multiply
    202,698.70x = 303,632.94 × 113,765.44
  4. Step 4: Simplify right side
    202,698.70x = 34,542,935,017.59
  5. Step 5: Solve for x
    x = 34,542,935,017.59/202,698.70
  6. Step 6: Final answer
    x = 170,415.18

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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.