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Finding the Fourth Proportional to 200,466.48, 276,644.08 and 109,820.46

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Solution

The fourth proportional to 200,466.48, 276,644.08 and 109,820.46 is: 151,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,466.48 : 276,644.08 = 109,820.46 : x
  2. Step 2: Convert to fraction form
    200,466.48/276,644.08 = 109,820.46/x
  3. Step 3: Cross multiply
    200,466.48x = 276,644.08 × 109,820.46
  4. Step 4: Simplify right side
    200,466.48x = 30,381,180,121.88
  5. Step 5: Solve for x
    x = 30,381,180,121.88/200,466.48
  6. Step 6: Final answer
    x = 151,552.42

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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.