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Finding the Fourth Proportional to 200,530.30, 300,784.38 and 67,396.81

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Solution

The fourth proportional to 200,530.30, 300,784.38 and 67,396.81 is: 101,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530.30 : 300,784.38 = 67,396.81 : x
  2. Step 2: Convert to fraction form
    200,530.30/300,784.38 = 67,396.81/x
  3. Step 3: Cross multiply
    200,530.30x = 300,784.38 × 67,396.81
  4. Step 4: Simplify right side
    200,530.30x = 20,271,907,709.83
  5. Step 5: Solve for x
    x = 20,271,907,709.83/200,530.30
  6. Step 6: Final answer
    x = 101,091.49

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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.