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Finding the Fourth Proportional to 302,709.03, 417,738.47 and 166,742.56

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Solution

The fourth proportional to 302,709.03, 417,738.47 and 166,742.56 is: 230,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,709.03 : 417,738.47 = 166,742.56 : x
  2. Step 2: Convert to fraction form
    302,709.03/417,738.47 = 166,742.56/x
  3. Step 3: Cross multiply
    302,709.03x = 417,738.47 × 166,742.56
  4. Step 4: Simplify right side
    302,709.03x = 69,654,781,898.28
  5. Step 5: Solve for x
    x = 69,654,781,898.28/302,709.03
  6. Step 6: Final answer
    x = 230,104.74

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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.