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Finding the Fourth Proportional to 120,364.06, 180,279.72 and 82,323

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Solution

The fourth proportional to 120,364.06, 180,279.72 and 82,323 is: 123,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.06 : 180,279.72 = 82,323 : x
  2. Step 2: Convert to fraction form
    120,364.06/180,279.72 = 82,323/x
  3. Step 3: Cross multiply
    120,364.06x = 180,279.72 × 82,323
  4. Step 4: Simplify right side
    120,364.06x = 14,841,167,389.56
  5. Step 5: Solve for x
    x = 14,841,167,389.56/120,364.06
  6. Step 6: Final answer
    x = 123,302.32

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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.