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Finding the Fourth Proportional to 105,616.23, 158,372.50 and 52,246.54

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Solution

The fourth proportional to 105,616.23, 158,372.50 and 52,246.54 is: 78,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.23 : 158,372.50 = 52,246.54 : x
  2. Step 2: Convert to fraction form
    105,616.23/158,372.50 = 52,246.54/x
  3. Step 3: Cross multiply
    105,616.23x = 158,372.50 × 52,246.54
  4. Step 4: Simplify right side
    105,616.23x = 8,274,415,156.15
  5. Step 5: Solve for x
    x = 8,274,415,156.15/105,616.23
  6. Step 6: Final answer
    x = 78,344.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.