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Finding the Fourth Proportional to 120,448.44, 180,689.25 and 40,492.61

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Solution

The fourth proportional to 120,448.44, 180,689.25 and 40,492.61 is: 60,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,448.44 : 180,689.25 = 40,492.61 : x
  2. Step 2: Convert to fraction form
    120,448.44/180,689.25 = 40,492.61/x
  3. Step 3: Cross multiply
    120,448.44x = 180,689.25 × 40,492.61
  4. Step 4: Simplify right side
    120,448.44x = 7,316,579,128.98
  5. Step 5: Solve for x
    x = 7,316,579,128.98/120,448.44
  6. Step 6: Final answer
    x = 60,744.49

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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.