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Finding the Fourth Proportional to 200,434.83, 276,600 and 109,796.46

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Solution

The fourth proportional to 200,434.83, 276,600 and 109,796.46 is: 151,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,434.83 : 276,600 = 109,796.46 : x
  2. Step 2: Convert to fraction form
    200,434.83/276,600 = 109,796.46/x
  3. Step 3: Cross multiply
    200,434.83x = 276,600 × 109,796.46
  4. Step 4: Simplify right side
    200,434.83x = 30,369,700,836
  5. Step 5: Solve for x
    x = 30,369,700,836/200,434.83
  6. Step 6: Final answer
    x = 151,519.08

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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.