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Finding the Fourth Proportional to 260,604.41, 359,671.73 and 150,201.61

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Solution

The fourth proportional to 260,604.41, 359,671.73 and 150,201.61 is: 207,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,604.41 : 359,671.73 = 150,201.61 : x
  2. Step 2: Convert to fraction form
    260,604.41/359,671.73 = 150,201.61/x
  3. Step 3: Cross multiply
    260,604.41x = 359,671.73 × 150,201.61
  4. Step 4: Simplify right side
    260,604.41x = 54,023,271,267.30
  5. Step 5: Solve for x
    x = 54,023,271,267.30/260,604.41
  6. Step 6: Final answer
    x = 207,299.92

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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.