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Finding the Fourth Proportional to 205,195.56, 308,076.84 and 141,860.04

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Solution

The fourth proportional to 205,195.56, 308,076.84 and 141,860.04 is: 212,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,195.56 : 308,076.84 = 141,860.04 : x
  2. Step 2: Convert to fraction form
    205,195.56/308,076.84 = 141,860.04/x
  3. Step 3: Cross multiply
    205,195.56x = 308,076.84 × 141,860.04
  4. Step 4: Simplify right side
    205,195.56x = 43,703,792,845.47
  5. Step 5: Solve for x
    x = 43,703,792,845.47/205,195.56
  6. Step 6: Final answer
    x = 212,986.06

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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.