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Finding the Fourth Proportional to 200,591.44, 276,760.16 and 158,017.84

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Solution

The fourth proportional to 200,591.44, 276,760.16 and 158,017.84 is: 218,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,591.44 : 276,760.16 = 158,017.84 : x
  2. Step 2: Convert to fraction form
    200,591.44/276,760.16 = 158,017.84/x
  3. Step 3: Cross multiply
    200,591.44x = 276,760.16 × 158,017.84
  4. Step 4: Simplify right side
    200,591.44x = 43,733,042,681.25
  5. Step 5: Solve for x
    x = 43,733,042,681.25/200,591.44
  6. Step 6: Final answer
    x = 218,020.48

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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.