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Finding the Fourth Proportional to 259,729.80, 389,594.70 and 141,340.20

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Solution

The fourth proportional to 259,729.80, 389,594.70 and 141,340.20 is: 212,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,729.80 : 389,594.70 = 141,340.20 : x
  2. Step 2: Convert to fraction form
    259,729.80/389,594.70 = 141,340.20/x
  3. Step 3: Cross multiply
    259,729.80x = 389,594.70 × 141,340.20
  4. Step 4: Simplify right side
    259,729.80x = 55,065,392,816.94
  5. Step 5: Solve for x
    x = 55,065,392,816.94/259,729.80
  6. Step 6: Final answer
    x = 212,010.30

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Why These Related Problems?

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