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Finding the Fourth Proportional to 260,694.46, 359,796.81 and 165,209.86

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Solution

The fourth proportional to 260,694.46, 359,796.81 and 165,209.86 is: 228,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,694.46 : 359,796.81 = 165,209.86 : x
  2. Step 2: Convert to fraction form
    260,694.46/359,796.81 = 165,209.86/x
  3. Step 3: Cross multiply
    260,694.46x = 359,796.81 × 165,209.86
  4. Step 4: Simplify right side
    260,694.46x = 59,441,980,608.55
  5. Step 5: Solve for x
    x = 59,441,980,608.55/260,694.46
  6. Step 6: Final answer
    x = 228,013.98

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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.