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Finding the Fourth Proportional to 208,436.06, 312,748.41 and 82,041.50

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Solution

The fourth proportional to 208,436.06, 312,748.41 and 82,041.50 is: 123,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,436.06 : 312,748.41 = 82,041.50 : x
  2. Step 2: Convert to fraction form
    208,436.06/312,748.41 = 82,041.50/x
  3. Step 3: Cross multiply
    208,436.06x = 312,748.41 × 82,041.50
  4. Step 4: Simplify right side
    208,436.06x = 25,658,348,679.02
  5. Step 5: Solve for x
    x = 25,658,348,679.02/208,436.06
  6. Step 6: Final answer
    x = 123,099.37

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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.