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Finding the Fourth Proportional to 208,291.37, 312,451.61 and 103,082.09

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Solution

The fourth proportional to 208,291.37, 312,451.61 and 103,082.09 is: 154,630.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,291.37 : 312,451.61 = 103,082.09 : x
  2. Step 2: Convert to fraction form
    208,291.37/312,451.61 = 103,082.09/x
  3. Step 3: Cross multiply
    208,291.37x = 312,451.61 × 103,082.09
  4. Step 4: Simplify right side
    208,291.37x = 32,208,162,905.00
  5. Step 5: Solve for x
    x = 32,208,162,905.00/208,291.37
  6. Step 6: Final answer
    x = 154,630.33

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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.