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Finding the Fourth Proportional to 105,410.50, 158,136.91 and 38,850.98

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Solution

The fourth proportional to 105,410.50, 158,136.91 and 38,850.98 is: 58,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,410.50 : 158,136.91 = 38,850.98 : x
  2. Step 2: Convert to fraction form
    105,410.50/158,136.91 = 38,850.98/x
  3. Step 3: Cross multiply
    105,410.50x = 158,136.91 × 38,850.98
  4. Step 4: Simplify right side
    105,410.50x = 6,143,773,039.86
  5. Step 5: Solve for x
    x = 6,143,773,039.86/105,410.50
  6. Step 6: Final answer
    x = 58,284.26

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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.