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Finding the Fourth Proportional to 105,371.92, 158,025 and 35,234.86

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Solution

The fourth proportional to 105,371.92, 158,025 and 35,234.86 is: 52,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,371.92 : 158,025 = 35,234.86 : x
  2. Step 2: Convert to fraction form
    105,371.92/158,025 = 35,234.86/x
  3. Step 3: Cross multiply
    105,371.92x = 158,025 × 35,234.86
  4. Step 4: Simplify right side
    105,371.92x = 5,567,988,751.50
  5. Step 5: Solve for x
    x = 5,567,988,751.50/105,371.92
  6. Step 6: Final answer
    x = 52,841.30

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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.