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Finding the Fourth Proportional to 302,178.96, 416,998.26 and 166,212.90

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Solution

The fourth proportional to 302,178.96, 416,998.26 and 166,212.90 is: 229,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,178.96 : 416,998.26 = 166,212.90 : x
  2. Step 2: Convert to fraction form
    302,178.96/416,998.26 = 166,212.90/x
  3. Step 3: Cross multiply
    302,178.96x = 416,998.26 × 166,212.90
  4. Step 4: Simplify right side
    302,178.96x = 69,310,490,089.55
  5. Step 5: Solve for x
    x = 69,310,490,089.55/302,178.96
  6. Step 6: Final answer
    x = 229,369.01

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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.