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Finding the Fourth Proportional to 190,992.88, 286,217.64 and 140,677.30

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Solution

The fourth proportional to 190,992.88, 286,217.64 and 140,677.30 is: 210,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,992.88 : 286,217.64 = 140,677.30 : x
  2. Step 2: Convert to fraction form
    190,992.88/286,217.64 = 140,677.30/x
  3. Step 3: Cross multiply
    190,992.88x = 286,217.64 × 140,677.30
  4. Step 4: Simplify right side
    190,992.88x = 40,264,324,807.57
  5. Step 5: Solve for x
    x = 40,264,324,807.57/190,992.88
  6. Step 6: Final answer
    x = 210,815.84

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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.