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Finding the Fourth Proportional to 208,863.09, 313,296.32 and 59,108.26

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Solution

The fourth proportional to 208,863.09, 313,296.32 and 59,108.26 is: 88,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,863.09 : 313,296.32 = 59,108.26 : x
  2. Step 2: Convert to fraction form
    208,863.09/313,296.32 = 59,108.26/x
  3. Step 3: Cross multiply
    208,863.09x = 313,296.32 × 59,108.26
  4. Step 4: Simplify right side
    208,863.09x = 18,518,400,339.60
  5. Step 5: Solve for x
    x = 18,518,400,339.60/208,863.09
  6. Step 6: Final answer
    x = 88,662.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.