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Finding the Fourth Proportional to 106,253.25, 146,629.49 and 58,506.48

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Solution

The fourth proportional to 106,253.25, 146,629.49 and 58,506.48 is: 80,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,253.25 : 146,629.49 = 58,506.48 : x
  2. Step 2: Convert to fraction form
    106,253.25/146,629.49 = 58,506.48/x
  3. Step 3: Cross multiply
    106,253.25x = 146,629.49 × 58,506.48
  4. Step 4: Simplify right side
    106,253.25x = 8,578,775,031.56
  5. Step 5: Solve for x
    x = 8,578,775,031.56/106,253.25
  6. Step 6: Final answer
    x = 80,738.94

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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.