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Finding the Fourth Proportional to 120,423.19, 166,184 and 72,676.54

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Solution

The fourth proportional to 120,423.19, 166,184 and 72,676.54 is: 100,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,423.19 : 166,184 = 72,676.54 : x
  2. Step 2: Convert to fraction form
    120,423.19/166,184 = 72,676.54/x
  3. Step 3: Cross multiply
    120,423.19x = 166,184 × 72,676.54
  4. Step 4: Simplify right side
    120,423.19x = 12,077,678,123.36
  5. Step 5: Solve for x
    x = 12,077,678,123.36/120,423.19
  6. Step 6: Final answer
    x = 100,293.62

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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.