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Finding the Fourth Proportional to 278,338.14, 384,104.97 and 151,011

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Solution

The fourth proportional to 278,338.14, 384,104.97 and 151,011 is: 208,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,338.14 : 384,104.97 = 151,011 : x
  2. Step 2: Convert to fraction form
    278,338.14/384,104.97 = 151,011/x
  3. Step 3: Cross multiply
    278,338.14x = 384,104.97 × 151,011
  4. Step 4: Simplify right side
    278,338.14x = 58,004,075,624.67
  5. Step 5: Solve for x
    x = 58,004,075,624.67/278,338.14
  6. Step 6: Final answer
    x = 208,394.28

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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.