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Finding the Fourth Proportional to 106,048.24, 146,342.84 and 58,301.24

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Solution

The fourth proportional to 106,048.24, 146,342.84 and 58,301.24 is: 80,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,048.24 : 146,342.84 = 58,301.24 : x
  2. Step 2: Convert to fraction form
    106,048.24/146,342.84 = 58,301.24/x
  3. Step 3: Cross multiply
    106,048.24x = 146,342.84 × 58,301.24
  4. Step 4: Simplify right side
    106,048.24x = 8,531,968,013.90
  5. Step 5: Solve for x
    x = 8,531,968,013.90/106,048.24
  6. Step 6: Final answer
    x = 80,453.65

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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.