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Finding the Fourth Proportional to 205,906.40, 308,830.80 and 65,679.20

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Solution

The fourth proportional to 205,906.40, 308,830.80 and 65,679.20 is: 98,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,906.40 : 308,830.80 = 65,679.20 : x
  2. Step 2: Convert to fraction form
    205,906.40/308,830.80 = 65,679.20/x
  3. Step 3: Cross multiply
    205,906.40x = 308,830.80 × 65,679.20
  4. Step 4: Simplify right side
    205,906.40x = 20,283,759,879.36
  5. Step 5: Solve for x
    x = 20,283,759,879.36/205,906.40
  6. Step 6: Final answer
    x = 98,509.61

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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.