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Finding the Fourth Proportional to 105,866.48, 146,087.06 and 58,118.19

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Solution

The fourth proportional to 105,866.48, 146,087.06 and 58,118.19 is: 80,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,866.48 : 146,087.06 = 58,118.19 : x
  2. Step 2: Convert to fraction form
    105,866.48/146,087.06 = 58,118.19/x
  3. Step 3: Cross multiply
    105,866.48x = 146,087.06 × 58,118.19
  4. Step 4: Simplify right side
    105,866.48x = 8,490,315,219.03
  5. Step 5: Solve for x
    x = 8,490,315,219.03/105,866.48
  6. Step 6: Final answer
    x = 80,198.34

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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.