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Finding the Fourth Proportional to 106,016.44, 146,305.38 and 58,271

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Solution

The fourth proportional to 106,016.44, 146,305.38 and 58,271 is: 80,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,016.44 : 146,305.38 = 58,271 : x
  2. Step 2: Convert to fraction form
    106,016.44/146,305.38 = 58,271/x
  3. Step 3: Cross multiply
    106,016.44x = 146,305.38 × 58,271
  4. Step 4: Simplify right side
    106,016.44x = 8,525,360,797.98
  5. Step 5: Solve for x
    x = 8,525,360,797.98/106,016.44
  6. Step 6: Final answer
    x = 80,415.46

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