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Finding the Fourth Proportional to 105,910.49, 146,157.44 and 58,164.20

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Solution

The fourth proportional to 105,910.49, 146,157.44 and 58,164.20 is: 80,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,910.49 : 146,157.44 = 58,164.20 : x
  2. Step 2: Convert to fraction form
    105,910.49/146,157.44 = 58,164.20/x
  3. Step 3: Cross multiply
    105,910.49x = 146,157.44 × 58,164.20
  4. Step 4: Simplify right side
    105,910.49x = 8,501,130,571.65
  5. Step 5: Solve for x
    x = 8,501,130,571.65/105,910.49
  6. Step 6: Final answer
    x = 80,267.13

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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.