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Finding the Fourth Proportional to 302,103.96, 416,908.26 and 166,143.84

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Solution

The fourth proportional to 302,103.96, 416,908.26 and 166,143.84 is: 229,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,103.96 : 416,908.26 = 166,143.84 : x
  2. Step 2: Convert to fraction form
    302,103.96/416,908.26 = 166,143.84/x
  3. Step 3: Cross multiply
    302,103.96x = 416,908.26 × 166,143.84
  4. Step 4: Simplify right side
    302,103.96x = 69,266,739,244.12
  5. Step 5: Solve for x
    x = 69,266,739,244.12/302,103.96
  6. Step 6: Final answer
    x = 229,281.14

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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.