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Finding the Fourth Proportional to 259,657.20, 389,197.80 and 101,833.20

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Solution

The fourth proportional to 259,657.20, 389,197.80 and 101,833.20 is: 152,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,657.20 : 389,197.80 = 101,833.20 : x
  2. Step 2: Convert to fraction form
    259,657.20/389,197.80 = 101,833.20/x
  3. Step 3: Cross multiply
    259,657.20x = 389,197.80 × 101,833.20
  4. Step 4: Simplify right side
    259,657.20x = 39,633,257,406.96
  5. Step 5: Solve for x
    x = 39,633,257,406.96/259,657.20
  6. Step 6: Final answer
    x = 152,636.85

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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.