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Finding the Fourth Proportional to 522,102.26, 782,770.35 and 166,911.86

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Solution

The fourth proportional to 522,102.26, 782,770.35 and 166,911.86 is: 250,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,102.26 : 782,770.35 = 166,911.86 : x
  2. Step 2: Convert to fraction form
    522,102.26/782,770.35 = 166,911.86/x
  3. Step 3: Cross multiply
    522,102.26x = 782,770.35 × 166,911.86
  4. Step 4: Simplify right side
    522,102.26x = 130,653,655,071.35
  5. Step 5: Solve for x
    x = 130,653,655,071.35/522,102.26
  6. Step 6: Final answer
    x = 250,245.34

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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.