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Finding the Fourth Proportional to 105,197.24, 145,173.18 and 59,873

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Solution

The fourth proportional to 105,197.24, 145,173.18 and 59,873 is: 82,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,197.24 : 145,173.18 = 59,873 : x
  2. Step 2: Convert to fraction form
    105,197.24/145,173.18 = 59,873/x
  3. Step 3: Cross multiply
    105,197.24x = 145,173.18 × 59,873
  4. Step 4: Simplify right side
    105,197.24x = 8,691,953,806.14
  5. Step 5: Solve for x
    x = 8,691,953,806.14/105,197.24
  6. Step 6: Final answer
    x = 82,625.30

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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.