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Finding the Fourth Proportional to 120,356.01, 180,466.51 and 82,448.11

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Solution

The fourth proportional to 120,356.01, 180,466.51 and 82,448.11 is: 123,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356.01 : 180,466.51 = 82,448.11 : x
  2. Step 2: Convert to fraction form
    120,356.01/180,466.51 = 82,448.11/x
  3. Step 3: Cross multiply
    120,356.01x = 180,466.51 × 82,448.11
  4. Step 4: Simplify right side
    120,356.01x = 14,879,122,180.03
  5. Step 5: Solve for x
    x = 14,879,122,180.03/120,356.01
  6. Step 6: Final answer
    x = 123,625.92

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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.