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Finding the Fourth Proportional to 302,276.14, 417,144.27 and 166,311.88

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Solution

The fourth proportional to 302,276.14, 417,144.27 and 166,311.88 is: 229,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,276.14 : 417,144.27 = 166,311.88 : x
  2. Step 2: Convert to fraction form
    302,276.14/417,144.27 = 166,311.88/x
  3. Step 3: Cross multiply
    302,276.14x = 417,144.27 × 166,311.88
  4. Step 4: Simplify right side
    302,276.14x = 69,376,047,774.93
  5. Step 5: Solve for x
    x = 69,376,047,774.93/302,276.14
  6. Step 6: Final answer
    x = 229,512.15

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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.