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Finding the Fourth Proportional to 200,031, 276,031.44 and 109,370.14

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Solution

The fourth proportional to 200,031, 276,031.44 and 109,370.14 is: 150,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,031 : 276,031.44 = 109,370.14 : x
  2. Step 2: Convert to fraction form
    200,031/276,031.44 = 109,370.14/x
  3. Step 3: Cross multiply
    200,031x = 276,031.44 × 109,370.14
  4. Step 4: Simplify right side
    200,031x = 30,189,597,237.20
  5. Step 5: Solve for x
    x = 30,189,597,237.20/200,031
  6. Step 6: Final answer
    x = 150,924.59

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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.