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Finding the Fourth Proportional to 302,860.77, 417,942.27 and 166,907.31

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Solution

The fourth proportional to 302,860.77, 417,942.27 and 166,907.31 is: 230,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,860.77 : 417,942.27 = 166,907.31 : x
  2. Step 2: Convert to fraction form
    302,860.77/417,942.27 = 166,907.31/x
  3. Step 3: Cross multiply
    302,860.77x = 417,942.27 × 166,907.31
  4. Step 4: Simplify right side
    302,860.77x = 69,757,620,020.99
  5. Step 5: Solve for x
    x = 69,757,620,020.99/302,860.77
  6. Step 6: Final answer
    x = 230,329.01

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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.