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Finding the Fourth Proportional to 106,019.44, 146,309.52 and 58,274

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Solution

The fourth proportional to 106,019.44, 146,309.52 and 58,274 is: 80,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,019.44 : 146,309.52 = 58,274 : x
  2. Step 2: Convert to fraction form
    106,019.44/146,309.52 = 58,274/x
  3. Step 3: Cross multiply
    106,019.44x = 146,309.52 × 58,274
  4. Step 4: Simplify right side
    106,019.44x = 8,526,040,968.48
  5. Step 5: Solve for x
    x = 8,526,040,968.48/106,019.44
  6. Step 6: Final answer
    x = 80,419.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.