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Finding the Fourth Proportional to 105,813.54, 146,024.47 and 58,071.33

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Solution

The fourth proportional to 105,813.54, 146,024.47 and 58,071.33 is: 80,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,813.54 : 146,024.47 = 58,071.33 : x
  2. Step 2: Convert to fraction form
    105,813.54/146,024.47 = 58,071.33/x
  3. Step 3: Cross multiply
    105,813.54x = 146,024.47 × 58,071.33
  4. Step 4: Simplify right side
    105,813.54x = 8,479,835,258.03
  5. Step 5: Solve for x
    x = 8,479,835,258.03/105,813.54
  6. Step 6: Final answer
    x = 80,139.42

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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.