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Finding the Fourth Proportional to 259,819.80, 389,729.70 and 119,851.80

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Solution

The fourth proportional to 259,819.80, 389,729.70 and 119,851.80 is: 179,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,819.80 : 389,729.70 = 119,851.80 : x
  2. Step 2: Convert to fraction form
    259,819.80/389,729.70 = 119,851.80/x
  3. Step 3: Cross multiply
    259,819.80x = 389,729.70 × 119,851.80
  4. Step 4: Simplify right side
    259,819.80x = 46,709,806,058.46
  5. Step 5: Solve for x
    x = 46,709,806,058.46/259,819.80
  6. Step 6: Final answer
    x = 179,777.70

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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.