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Finding the Fourth Proportional to 302,827.72, 454,103.16 and 113,149

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Solution

The fourth proportional to 302,827.72, 454,103.16 and 113,149 is: 169,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,827.72 : 454,103.16 = 113,149 : x
  2. Step 2: Convert to fraction form
    302,827.72/454,103.16 = 113,149/x
  3. Step 3: Cross multiply
    302,827.72x = 454,103.16 × 113,149
  4. Step 4: Simplify right side
    302,827.72x = 51,381,318,450.84
  5. Step 5: Solve for x
    x = 51,381,318,450.84/302,827.72
  6. Step 6: Final answer
    x = 169,671.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.