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Finding the Fourth Proportional to 199,298.37, 298,614.69 and 140,027.93

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Solution

The fourth proportional to 199,298.37, 298,614.69 and 140,027.93 is: 209,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,298.37 : 298,614.69 = 140,027.93 : x
  2. Step 2: Convert to fraction form
    199,298.37/298,614.69 = 140,027.93/x
  3. Step 3: Cross multiply
    199,298.37x = 298,614.69 × 140,027.93
  4. Step 4: Simplify right side
    199,298.37x = 41,814,396,908.29
  5. Step 5: Solve for x
    x = 41,814,396,908.29/199,298.37
  6. Step 6: Final answer
    x = 209,808.02

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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.