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Finding the Fourth Proportional to 278,406.83, 384,202.46 and 151,082.39

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Solution

The fourth proportional to 278,406.83, 384,202.46 and 151,082.39 is: 208,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,406.83 : 384,202.46 = 151,082.39 : x
  2. Step 2: Convert to fraction form
    278,406.83/384,202.46 = 151,082.39/x
  3. Step 3: Cross multiply
    278,406.83x = 384,202.46 × 151,082.39
  4. Step 4: Simplify right side
    278,406.83x = 58,046,225,900.68
  5. Step 5: Solve for x
    x = 58,046,225,900.68/278,406.83
  6. Step 6: Final answer
    x = 208,494.26

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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.