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Finding the Fourth Proportional to 231,985.98, 320,135.31 and 135,183.67

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Solution

The fourth proportional to 231,985.98, 320,135.31 and 135,183.67 is: 186,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,985.98 : 320,135.31 = 135,183.67 : x
  2. Step 2: Convert to fraction form
    231,985.98/320,135.31 = 135,183.67/x
  3. Step 3: Cross multiply
    231,985.98x = 320,135.31 × 135,183.67
  4. Step 4: Simplify right side
    231,985.98x = 43,277,065,302.05
  5. Step 5: Solve for x
    x = 43,277,065,302.05/231,985.98
  6. Step 6: Final answer
    x = 186,550.35

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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.