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Finding the Fourth Proportional to 106,138.44, 146,474.64 and 58,393.80

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Solution

The fourth proportional to 106,138.44, 146,474.64 and 58,393.80 is: 80,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.44 : 146,474.64 = 58,393.80 : x
  2. Step 2: Convert to fraction form
    106,138.44/146,474.64 = 58,393.80/x
  3. Step 3: Cross multiply
    106,138.44x = 146,474.64 × 58,393.80
  4. Step 4: Simplify right side
    106,138.44x = 8,553,210,833.23
  5. Step 5: Solve for x
    x = 8,553,210,833.23/106,138.44
  6. Step 6: Final answer
    x = 80,585.42

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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.