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Finding the Fourth Proportional to 205,644.11, 308,351.54 and 63,449.01

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Solution

The fourth proportional to 205,644.11, 308,351.54 and 63,449.01 is: 95,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,644.11 : 308,351.54 = 63,449.01 : x
  2. Step 2: Convert to fraction form
    205,644.11/308,351.54 = 63,449.01/x
  3. Step 3: Cross multiply
    205,644.11x = 308,351.54 × 63,449.01
  4. Step 4: Simplify right side
    205,644.11x = 19,564,599,627.73
  5. Step 5: Solve for x
    x = 19,564,599,627.73/205,644.11
  6. Step 6: Final answer
    x = 95,138.15

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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.