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Finding the Fourth Proportional to 205,922.73, 308,889.54 and 65,681.34

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Solution

The fourth proportional to 205,922.73, 308,889.54 and 65,681.34 is: 98,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,922.73 : 308,889.54 = 65,681.34 : x
  2. Step 2: Convert to fraction form
    205,922.73/308,889.54 = 65,681.34/x
  3. Step 3: Cross multiply
    205,922.73x = 308,889.54 × 65,681.34
  4. Step 4: Simplify right side
    205,922.73x = 20,288,278,899.18
  5. Step 5: Solve for x
    x = 20,288,278,899.18/205,922.73
  6. Step 6: Final answer
    x = 98,523.75

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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.