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Finding the Fourth Proportional to 200,047.78, 276,039.21 and 110,629.54

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Solution

The fourth proportional to 200,047.78, 276,039.21 and 110,629.54 is: 152,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,047.78 : 276,039.21 = 110,629.54 : x
  2. Step 2: Convert to fraction form
    200,047.78/276,039.21 = 110,629.54/x
  3. Step 3: Cross multiply
    200,047.78x = 276,039.21 × 110,629.54
  4. Step 4: Simplify right side
    200,047.78x = 30,538,090,824.26
  5. Step 5: Solve for x
    x = 30,538,090,824.26/200,047.78
  6. Step 6: Final answer
    x = 152,653.99

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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.