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Finding the Fourth Proportional to 302,194.44, 417,019.86 and 166,228.25

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Solution

The fourth proportional to 302,194.44, 417,019.86 and 166,228.25 is: 229,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,194.44 : 417,019.86 = 166,228.25 : x
  2. Step 2: Convert to fraction form
    302,194.44/417,019.86 = 166,228.25/x
  3. Step 3: Cross multiply
    302,194.44x = 417,019.86 × 166,228.25
  4. Step 4: Simplify right side
    302,194.44x = 69,320,479,457.95
  5. Step 5: Solve for x
    x = 69,320,479,457.95/302,194.44
  6. Step 6: Final answer
    x = 229,390.32

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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.