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Finding the Fourth Proportional to 105,195.24, 145,170.42 and 59,871

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Solution

The fourth proportional to 105,195.24, 145,170.42 and 59,871 is: 82,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,195.24 : 145,170.42 = 59,871 : x
  2. Step 2: Convert to fraction form
    105,195.24/145,170.42 = 59,871/x
  3. Step 3: Cross multiply
    105,195.24x = 145,170.42 × 59,871
  4. Step 4: Simplify right side
    105,195.24x = 8,691,498,215.82
  5. Step 5: Solve for x
    x = 8,691,498,215.82/105,195.24
  6. Step 6: Final answer
    x = 82,622.54

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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.