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Finding the Fourth Proportional to 302,878.05, 417,969.77 and 166,913.07

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Solution

The fourth proportional to 302,878.05, 417,969.77 and 166,913.07 is: 230,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,878.05 : 417,969.77 = 166,913.07 : x
  2. Step 2: Convert to fraction form
    302,878.05/417,969.77 = 166,913.07/x
  3. Step 3: Cross multiply
    302,878.05x = 417,969.77 × 166,913.07
  4. Step 4: Simplify right side
    302,878.05x = 69,764,616,643.33
  5. Step 5: Solve for x
    x = 69,764,616,643.33/302,878.05
  6. Step 6: Final answer
    x = 230,338.97

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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.