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Finding the Fourth Proportional to 200,676.96, 276,921.36 and 110,031.84

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Solution

The fourth proportional to 200,676.96, 276,921.36 and 110,031.84 is: 151,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,676.96 : 276,921.36 = 110,031.84 : x
  2. Step 2: Convert to fraction form
    200,676.96/276,921.36 = 110,031.84/x
  3. Step 3: Cross multiply
    200,676.96x = 276,921.36 × 110,031.84
  4. Step 4: Simplify right side
    200,676.96x = 30,470,166,776.10
  5. Step 5: Solve for x
    x = 30,470,166,776.10/200,676.96
  6. Step 6: Final answer
    x = 151,836.90

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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.