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Finding the Fourth Proportional to 156,707.31, 216,250.03 and 85,085.69

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Solution

The fourth proportional to 156,707.31, 216,250.03 and 85,085.69 is: 117,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,707.31 : 216,250.03 = 85,085.69 : x
  2. Step 2: Convert to fraction form
    156,707.31/216,250.03 = 85,085.69/x
  3. Step 3: Cross multiply
    156,707.31x = 216,250.03 × 85,085.69
  4. Step 4: Simplify right side
    156,707.31x = 18,399,783,204.22
  5. Step 5: Solve for x
    x = 18,399,783,204.22/156,707.31
  6. Step 6: Final answer
    x = 117,414.96

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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.