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Finding the Fourth Proportional to 106,012.03, 146,289.13 and 58,268.47

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Solution

The fourth proportional to 106,012.03, 146,289.13 and 58,268.47 is: 80,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,012.03 : 146,289.13 = 58,268.47 : x
  2. Step 2: Convert to fraction form
    106,012.03/146,289.13 = 58,268.47/x
  3. Step 3: Cross multiply
    106,012.03x = 146,289.13 × 58,268.47
  4. Step 4: Simplify right side
    106,012.03x = 8,524,043,782.73
  5. Step 5: Solve for x
    x = 8,524,043,782.73/106,012.03
  6. Step 6: Final answer
    x = 80,406.38

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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.