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Finding the Fourth Proportional to 156,827.46, 216,422.13 and 85,207.46

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Solution

The fourth proportional to 156,827.46, 216,422.13 and 85,207.46 is: 117,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,827.46 : 216,422.13 = 85,207.46 : x
  2. Step 2: Convert to fraction form
    156,827.46/216,422.13 = 85,207.46/x
  3. Step 3: Cross multiply
    156,827.46x = 216,422.13 × 85,207.46
  4. Step 4: Simplify right side
    156,827.46x = 18,440,778,902.98
  5. Step 5: Solve for x
    x = 18,440,778,902.98/156,827.46
  6. Step 6: Final answer
    x = 117,586.42

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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.