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Finding the Fourth Proportional to 200,074.91, 299,779.11 and 140,785.99

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Solution

The fourth proportional to 200,074.91, 299,779.11 and 140,785.99 is: 210,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,074.91 : 299,779.11 = 140,785.99 : x
  2. Step 2: Convert to fraction form
    200,074.91/299,779.11 = 140,785.99/x
  3. Step 3: Cross multiply
    200,074.91x = 299,779.11 × 140,785.99
  4. Step 4: Simplify right side
    200,074.91x = 42,204,698,033.22
  5. Step 5: Solve for x
    x = 42,204,698,033.22/200,074.91
  6. Step 6: Final answer
    x = 210,944.49

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