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Finding the Fourth Proportional to 307,894.60, 461,872.14 and 127,942.84

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Solution

The fourth proportional to 307,894.60, 461,872.14 and 127,942.84 is: 191,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,894.60 : 461,872.14 = 127,942.84 : x
  2. Step 2: Convert to fraction form
    307,894.60/461,872.14 = 127,942.84/x
  3. Step 3: Cross multiply
    307,894.60x = 461,872.14 × 127,942.84
  4. Step 4: Simplify right side
    307,894.60x = 59,093,233,308.48
  5. Step 5: Solve for x
    x = 59,093,233,308.48/307,894.60
  6. Step 6: Final answer
    x = 191,926.83

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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.