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Finding the Fourth Proportional to 302,863.94, 417,955.00 and 166,902.77

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Solution

The fourth proportional to 302,863.94, 417,955.00 and 166,902.77 is: 230,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,863.94 : 417,955.00 = 166,902.77 : x
  2. Step 2: Convert to fraction form
    302,863.94/417,955.00 = 166,902.77/x
  3. Step 3: Cross multiply
    302,863.94x = 417,955.00 × 166,902.77
  4. Step 4: Simplify right side
    302,863.94x = 69,757,845,902.51
  5. Step 5: Solve for x
    x = 69,757,845,902.51/302,863.94
  6. Step 6: Final answer
    x = 230,327.34

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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.