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Finding the Fourth Proportional to 116,108.99, 160,279.40 and 78,434.27

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Solution

The fourth proportional to 116,108.99, 160,279.40 and 78,434.27 is: 108,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,108.99 : 160,279.40 = 78,434.27 : x
  2. Step 2: Convert to fraction form
    116,108.99/160,279.40 = 78,434.27/x
  3. Step 3: Cross multiply
    116,108.99x = 160,279.40 × 78,434.27
  4. Step 4: Simplify right side
    116,108.99x = 12,571,397,735.04
  5. Step 5: Solve for x
    x = 12,571,397,735.04/116,108.99
  6. Step 6: Final answer
    x = 108,272.39

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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.