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Finding the Fourth Proportional to 145,206.45, 200,382.30 and 80,675.99

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Solution

The fourth proportional to 145,206.45, 200,382.30 and 80,675.99 is: 111,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,206.45 : 200,382.30 = 80,675.99 : x
  2. Step 2: Convert to fraction form
    145,206.45/200,382.30 = 80,675.99/x
  3. Step 3: Cross multiply
    145,206.45x = 200,382.30 × 80,675.99
  4. Step 4: Simplify right side
    145,206.45x = 16,166,039,429.07
  5. Step 5: Solve for x
    x = 16,166,039,429.07/145,206.45
  6. Step 6: Final answer
    x = 111,331.41

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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.