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Finding the Fourth Proportional to 302,158.46, 416,986.57 and 166,195.98

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Solution

The fourth proportional to 302,158.46, 416,986.57 and 166,195.98 is: 229,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,158.46 : 416,986.57 = 166,195.98 : x
  2. Step 2: Convert to fraction form
    302,158.46/416,986.57 = 166,195.98/x
  3. Step 3: Cross multiply
    302,158.46x = 416,986.57 × 166,195.98
  4. Step 4: Simplify right side
    302,158.46x = 69,301,489,478.82
  5. Step 5: Solve for x
    x = 69,301,489,478.82/302,158.46
  6. Step 6: Final answer
    x = 229,354.79

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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.