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Finding the Fourth Proportional to 106,452.24, 146,905.02 and 58,707.24

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Solution

The fourth proportional to 106,452.24, 146,905.02 and 58,707.24 is: 81,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,452.24 : 146,905.02 = 58,707.24 : x
  2. Step 2: Convert to fraction form
    106,452.24/146,905.02 = 58,707.24/x
  3. Step 3: Cross multiply
    106,452.24x = 146,905.02 × 58,707.24
  4. Step 4: Simplify right side
    106,452.24x = 8,624,388,266.34
  5. Step 5: Solve for x
    x = 8,624,388,266.34/106,452.24
  6. Step 6: Final answer
    x = 81,016.50

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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.