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Finding the Fourth Proportional to 156,985.59, 216,644.22 and 85,369.80

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Solution

The fourth proportional to 156,985.59, 216,644.22 and 85,369.80 is: 117,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,985.59 : 216,644.22 = 85,369.80 : x
  2. Step 2: Convert to fraction form
    156,985.59/216,644.22 = 85,369.80/x
  3. Step 3: Cross multiply
    156,985.59x = 216,644.22 × 85,369.80
  4. Step 4: Simplify right side
    156,985.59x = 18,494,873,732.56
  5. Step 5: Solve for x
    x = 18,494,873,732.56/156,985.59
  6. Step 6: Final answer
    x = 117,812.56

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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.