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Finding the Fourth Proportional to 302,262.09, 417,121.66 and 166,293.11

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Solution

The fourth proportional to 302,262.09, 417,121.66 and 166,293.11 is: 229,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,262.09 : 417,121.66 = 166,293.11 : x
  2. Step 2: Convert to fraction form
    302,262.09/417,121.66 = 166,293.11/x
  3. Step 3: Cross multiply
    302,262.09x = 417,121.66 × 166,293.11
  4. Step 4: Simplify right side
    302,262.09x = 69,364,457,258.30
  5. Step 5: Solve for x
    x = 69,364,457,258.30/302,262.09
  6. Step 6: Final answer
    x = 229,484.48

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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.