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Finding the Fourth Proportional to 200,078.52, 299,785.50 and 140,789.76

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Solution

The fourth proportional to 200,078.52, 299,785.50 and 140,789.76 is: 210,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,078.52 : 299,785.50 = 140,789.76 : x
  2. Step 2: Convert to fraction form
    200,078.52/299,785.50 = 140,789.76/x
  3. Step 3: Cross multiply
    200,078.52x = 299,785.50 × 140,789.76
  4. Step 4: Simplify right side
    200,078.52x = 42,206,728,596.48
  5. Step 5: Solve for x
    x = 42,206,728,596.48/200,078.52
  6. Step 6: Final answer
    x = 210,950.82

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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.