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Finding the Fourth Proportional to 205,684.38, 283,848.93 and 145,361.46

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Solution

The fourth proportional to 205,684.38, 283,848.93 and 145,361.46 is: 200,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,684.38 : 283,848.93 = 145,361.46 : x
  2. Step 2: Convert to fraction form
    205,684.38/283,848.93 = 145,361.46/x
  3. Step 3: Cross multiply
    205,684.38x = 283,848.93 × 145,361.46
  4. Step 4: Simplify right side
    205,684.38x = 41,260,694,884.24
  5. Step 5: Solve for x
    x = 41,260,694,884.24/205,684.38
  6. Step 6: Final answer
    x = 200,601.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.