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Finding the Fourth Proportional to 200,920.88, 277,271.16 and 110,277.44

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Solution

The fourth proportional to 200,920.88, 277,271.16 and 110,277.44 is: 152,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920.88 : 277,271.16 = 110,277.44 : x
  2. Step 2: Convert to fraction form
    200,920.88/277,271.16 = 110,277.44/x
  3. Step 3: Cross multiply
    200,920.88x = 277,271.16 × 110,277.44
  4. Step 4: Simplify right side
    200,920.88x = 30,576,753,710.63
  5. Step 5: Solve for x
    x = 30,576,753,710.63/200,920.88
  6. Step 6: Final answer
    x = 152,183.06

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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.