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Finding the Fourth Proportional to 156,231.96, 215,599.92 and 84,611.94

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Solution

The fourth proportional to 156,231.96, 215,599.92 and 84,611.94 is: 116,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,231.96 : 215,599.92 = 84,611.94 : x
  2. Step 2: Convert to fraction form
    156,231.96/215,599.92 = 84,611.94/x
  3. Step 3: Cross multiply
    156,231.96x = 215,599.92 × 84,611.94
  4. Step 4: Simplify right side
    156,231.96x = 18,242,327,495.04
  5. Step 5: Solve for x
    x = 18,242,327,495.04/156,231.96
  6. Step 6: Final answer
    x = 116,764.38

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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.