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Finding the Fourth Proportional to 231,958, 320,102.72 and 135,219.30

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Solution

The fourth proportional to 231,958, 320,102.72 and 135,219.30 is: 186,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,958 : 320,102.72 = 135,219.30 : x
  2. Step 2: Convert to fraction form
    231,958/320,102.72 = 135,219.30/x
  3. Step 3: Cross multiply
    231,958x = 320,102.72 × 135,219.30
  4. Step 4: Simplify right side
    231,958x = 43,284,065,726.50
  5. Step 5: Solve for x
    x = 43,284,065,726.50/231,958
  6. Step 6: Final answer
    x = 186,603.03

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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.