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Finding the Fourth Proportional to 302,052.96, 416,837.97 and 166,092.84

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Solution

The fourth proportional to 302,052.96, 416,837.97 and 166,092.84 is: 229,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,052.96 : 416,837.97 = 166,092.84 : x
  2. Step 2: Convert to fraction form
    302,052.96/416,837.97 = 166,092.84/x
  3. Step 3: Cross multiply
    302,052.96x = 416,837.97 × 166,092.84
  4. Step 4: Simplify right side
    302,052.96x = 69,233,802,257.13
  5. Step 5: Solve for x
    x = 69,233,802,257.13/302,052.96
  6. Step 6: Final answer
    x = 229,210.81

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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.