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Finding the Fourth Proportional to 200,303.84, 276,419.39 and 109,665.68

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Solution

The fourth proportional to 200,303.84, 276,419.39 and 109,665.68 is: 151,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,303.84 : 276,419.39 = 109,665.68 : x
  2. Step 2: Convert to fraction form
    200,303.84/276,419.39 = 109,665.68/x
  3. Step 3: Cross multiply
    200,303.84x = 276,419.39 × 109,665.68
  4. Step 4: Simplify right side
    200,303.84x = 30,313,718,439.11
  5. Step 5: Solve for x
    x = 30,313,718,439.11/200,303.84
  6. Step 6: Final answer
    x = 151,338.68

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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.