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Finding the Fourth Proportional to 156,640.48, 216,164.04 and 85,020.49

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Solution

The fourth proportional to 156,640.48, 216,164.04 and 85,020.49 is: 117,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,640.48 : 216,164.04 = 85,020.49 : x
  2. Step 2: Convert to fraction form
    156,640.48/216,164.04 = 85,020.49/x
  3. Step 3: Cross multiply
    156,640.48x = 216,164.04 × 85,020.49
  4. Step 4: Simplify right side
    156,640.48x = 18,378,371,814.88
  5. Step 5: Solve for x
    x = 18,378,371,814.88/156,640.48
  6. Step 6: Final answer
    x = 117,328.37

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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.