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Finding the Fourth Proportional to 156,853.48, 216,459.16 and 85,233.50

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Solution

The fourth proportional to 156,853.48, 216,459.16 and 85,233.50 is: 117,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,853.48 : 216,459.16 = 85,233.50 : x
  2. Step 2: Convert to fraction form
    156,853.48/216,459.16 = 85,233.50/x
  3. Step 3: Cross multiply
    156,853.48x = 216,459.16 × 85,233.50
  4. Step 4: Simplify right side
    156,853.48x = 18,449,571,813.86
  5. Step 5: Solve for x
    x = 18,449,571,813.86/156,853.48
  6. Step 6: Final answer
    x = 117,622.97

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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.