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Finding the Fourth Proportional to 156,958.38, 216,611.42 and 85,336.86

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Solution

The fourth proportional to 156,958.38, 216,611.42 and 85,336.86 is: 117,769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,958.38 : 216,611.42 = 85,336.86 : x
  2. Step 2: Convert to fraction form
    156,958.38/216,611.42 = 85,336.86/x
  3. Step 3: Cross multiply
    156,958.38x = 216,611.42 × 85,336.86
  4. Step 4: Simplify right side
    156,958.38x = 18,484,938,422.94
  5. Step 5: Solve for x
    x = 18,484,938,422.94/156,958.38
  6. Step 6: Final answer
    x = 117,769.68

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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.