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Finding the Fourth Proportional to 259,745.40, 389,423.70 and 141,550.20

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Solution

The fourth proportional to 259,745.40, 389,423.70 and 141,550.20 is: 212,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,745.40 : 389,423.70 = 141,550.20 : x
  2. Step 2: Convert to fraction form
    259,745.40/389,423.70 = 141,550.20/x
  3. Step 3: Cross multiply
    259,745.40x = 389,423.70 × 141,550.20
  4. Step 4: Simplify right side
    259,745.40x = 55,123,002,619.74
  5. Step 5: Solve for x
    x = 55,123,002,619.74/259,745.40
  6. Step 6: Final answer
    x = 212,219.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.