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Finding the Fourth Proportional to 198,003, 273,132.36 and 117,351.30

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Solution

The fourth proportional to 198,003, 273,132.36 and 117,351.30 is: 161,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,003 : 273,132.36 = 117,351.30 : x
  2. Step 2: Convert to fraction form
    198,003/273,132.36 = 117,351.30/x
  3. Step 3: Cross multiply
    198,003x = 273,132.36 × 117,351.30
  4. Step 4: Simplify right side
    198,003x = 32,052,437,518.07
  5. Step 5: Solve for x
    x = 32,052,437,518.07/198,003
  6. Step 6: Final answer
    x = 161,878.54

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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.