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Finding the Fourth Proportional to 106,105.41, 146,423.25 and 58,357.98

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Solution

The fourth proportional to 106,105.41, 146,423.25 and 58,357.98 is: 80,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,105.41 : 146,423.25 = 58,357.98 : x
  2. Step 2: Convert to fraction form
    106,105.41/146,423.25 = 58,357.98/x
  3. Step 3: Cross multiply
    106,105.41x = 146,423.25 × 58,357.98
  4. Step 4: Simplify right side
    106,105.41x = 8,544,965,095.04
  5. Step 5: Solve for x
    x = 8,544,965,095.04/106,105.41
  6. Step 6: Final answer
    x = 80,532.79

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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.