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Finding the Fourth Proportional to 200,698.93, 276,964.41 and 110,056.47

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Solution

The fourth proportional to 200,698.93, 276,964.41 and 110,056.47 is: 151,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,698.93 : 276,964.41 = 110,056.47 : x
  2. Step 2: Convert to fraction form
    200,698.93/276,964.41 = 110,056.47/x
  3. Step 3: Cross multiply
    200,698.93x = 276,964.41 × 110,056.47
  4. Step 4: Simplify right side
    200,698.93x = 30,481,725,280.23
  5. Step 5: Solve for x
    x = 30,481,725,280.23/200,698.93
  6. Step 6: Final answer
    x = 151,877.87

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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.