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Finding the Fourth Proportional to 156,645.34, 216,164.77 and 85,023.83

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Solution

The fourth proportional to 156,645.34, 216,164.77 and 85,023.83 is: 117,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,645.34 : 216,164.77 = 85,023.83 : x
  2. Step 2: Convert to fraction form
    156,645.34/216,164.77 = 85,023.83/x
  3. Step 3: Cross multiply
    156,645.34x = 216,164.77 × 85,023.83
  4. Step 4: Simplify right side
    156,645.34x = 18,379,156,984.32
  5. Step 5: Solve for x
    x = 18,379,156,984.32/156,645.34
  6. Step 6: Final answer
    x = 117,329.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.