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Finding the Fourth Proportional to 200,856.63, 301,286.65 and 51,097.05

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Solution

The fourth proportional to 200,856.63, 301,286.65 and 51,097.05 is: 76,646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,856.63 : 301,286.65 = 51,097.05 : x
  2. Step 2: Convert to fraction form
    200,856.63/301,286.65 = 51,097.05/x
  3. Step 3: Cross multiply
    200,856.63x = 301,286.65 × 51,097.05
  4. Step 4: Simplify right side
    200,856.63x = 15,394,858,891.64
  5. Step 5: Solve for x
    x = 15,394,858,891.64/200,856.63
  6. Step 6: Final answer
    x = 76,646.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.