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Finding the Fourth Proportional to 200,682.08, 301,029.44 and 74,353.92

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Solution

The fourth proportional to 200,682.08, 301,029.44 and 74,353.92 is: 111,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,682.08 : 301,029.44 = 74,353.92 : x
  2. Step 2: Convert to fraction form
    200,682.08/301,029.44 = 74,353.92/x
  3. Step 3: Cross multiply
    200,682.08x = 301,029.44 × 74,353.92
  4. Step 4: Simplify right side
    200,682.08x = 22,382,718,899.40
  5. Step 5: Solve for x
    x = 22,382,718,899.40/200,682.08
  6. Step 6: Final answer
    x = 111,533.22

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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.