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Finding the Fourth Proportional to 302,140.74, 416,945.43 and 166,174.14

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Solution

The fourth proportional to 302,140.74, 416,945.43 and 166,174.14 is: 229,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,140.74 : 416,945.43 = 166,174.14 : x
  2. Step 2: Convert to fraction form
    302,140.74/416,945.43 = 166,174.14/x
  3. Step 3: Cross multiply
    302,140.74x = 416,945.43 × 166,174.14
  4. Step 4: Simplify right side
    302,140.74x = 69,285,548,257.18
  5. Step 5: Solve for x
    x = 69,285,548,257.18/302,140.74
  6. Step 6: Final answer
    x = 229,315.48

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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.