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Finding the Fourth Proportional to 120,246.72, 180,279 and 72,852

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Solution

The fourth proportional to 120,246.72, 180,279 and 72,852 is: 109,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,246.72 : 180,279 = 72,852 : x
  2. Step 2: Convert to fraction form
    120,246.72/180,279 = 72,852/x
  3. Step 3: Cross multiply
    120,246.72x = 180,279 × 72,852
  4. Step 4: Simplify right side
    120,246.72x = 13,133,685,708
  5. Step 5: Solve for x
    x = 13,133,685,708/120,246.72
  6. Step 6: Final answer
    x = 109,222.82

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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.