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Finding the Fourth Proportional to 105,697.50, 158,462.61 and 52,351.71

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Solution

The fourth proportional to 105,697.50, 158,462.61 and 52,351.71 is: 78,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,697.50 : 158,462.61 = 52,351.71 : x
  2. Step 2: Convert to fraction form
    105,697.50/158,462.61 = 52,351.71/x
  3. Step 3: Cross multiply
    105,697.50x = 158,462.61 × 52,351.71
  4. Step 4: Simplify right side
    105,697.50x = 8,295,788,604.56
  5. Step 5: Solve for x
    x = 8,295,788,604.56/105,697.50
  6. Step 6: Final answer
    x = 78,486.14

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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.