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Finding the Fourth Proportional to 302,682.06, 417,704.07 and 166,716.51

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Solution

The fourth proportional to 302,682.06, 417,704.07 and 166,716.51 is: 230,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,682.06 : 417,704.07 = 166,716.51 : x
  2. Step 2: Convert to fraction form
    302,682.06/417,704.07 = 166,716.51/x
  3. Step 3: Cross multiply
    302,682.06x = 417,704.07 × 166,716.51
  4. Step 4: Simplify right side
    302,682.06x = 69,638,164,763.20
  5. Step 5: Solve for x
    x = 69,638,164,763.20/302,682.06
  6. Step 6: Final answer
    x = 230,070.34

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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.