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Finding the Fourth Proportional to 228,755.80, 315,700.50 and 131,977

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Solution

The fourth proportional to 228,755.80, 315,700.50 and 131,977 is: 182,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,755.80 : 315,700.50 = 131,977 : x
  2. Step 2: Convert to fraction form
    228,755.80/315,700.50 = 131,977/x
  3. Step 3: Cross multiply
    228,755.80x = 315,700.50 × 131,977
  4. Step 4: Simplify right side
    228,755.80x = 41,665,204,888.50
  5. Step 5: Solve for x
    x = 41,665,204,888.50/228,755.80
  6. Step 6: Final answer
    x = 182,138.35

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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.