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Finding the Fourth Proportional to 200,606.49, 276,840.06 and 120,037.41

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Solution

The fourth proportional to 200,606.49, 276,840.06 and 120,037.41 is: 165,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,606.49 : 276,840.06 = 120,037.41 : x
  2. Step 2: Convert to fraction form
    200,606.49/276,840.06 = 120,037.41/x
  3. Step 3: Cross multiply
    200,606.49x = 276,840.06 × 120,037.41
  4. Step 4: Simplify right side
    200,606.49x = 33,231,163,786.64
  5. Step 5: Solve for x
    x = 33,231,163,786.64/200,606.49
  6. Step 6: Final answer
    x = 165,653.48

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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.