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Finding the Fourth Proportional to 156,096, 234,135.78 and 43,783.98

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Solution

The fourth proportional to 156,096, 234,135.78 and 43,783.98 is: 65,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,096 : 234,135.78 = 43,783.98 : x
  2. Step 2: Convert to fraction form
    156,096/234,135.78 = 43,783.98/x
  3. Step 3: Cross multiply
    156,096x = 234,135.78 × 43,783.98
  4. Step 4: Simplify right side
    156,096x = 10,251,396,308.80
  5. Step 5: Solve for x
    x = 10,251,396,308.80/156,096
  6. Step 6: Final answer
    x = 65,673.66

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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.