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Finding the Fourth Proportional to 302,177.84, 416,996.71 and 166,211.78

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Solution

The fourth proportional to 302,177.84, 416,996.71 and 166,211.78 is: 229,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,177.84 : 416,996.71 = 166,211.78 : x
  2. Step 2: Convert to fraction form
    302,177.84/416,996.71 = 166,211.78/x
  3. Step 3: Cross multiply
    302,177.84x = 416,996.71 × 166,211.78
  4. Step 4: Simplify right side
    302,177.84x = 69,309,762,922.73
  5. Step 5: Solve for x
    x = 69,309,762,922.73/302,177.84
  6. Step 6: Final answer
    x = 229,367.46

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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.