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Finding the Fourth Proportional to 205,699.30, 308,571.63 and 65,425.12

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Solution

The fourth proportional to 205,699.30, 308,571.63 and 65,425.12 is: 98,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,699.30 : 308,571.63 = 65,425.12 : x
  2. Step 2: Convert to fraction form
    205,699.30/308,571.63 = 65,425.12/x
  3. Step 3: Cross multiply
    205,699.30x = 308,571.63 × 65,425.12
  4. Step 4: Simplify right side
    205,699.30x = 20,188,335,921.35
  5. Step 5: Solve for x
    x = 20,188,335,921.35/205,699.30
  6. Step 6: Final answer
    x = 98,144.89

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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.