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Finding the Fourth Proportional to 120,680.76, 180,982.74 and 50,547

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Solution

The fourth proportional to 120,680.76, 180,982.74 and 50,547 is: 75,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,680.76 : 180,982.74 = 50,547 : x
  2. Step 2: Convert to fraction form
    120,680.76/180,982.74 = 50,547/x
  3. Step 3: Cross multiply
    120,680.76x = 180,982.74 × 50,547
  4. Step 4: Simplify right side
    120,680.76x = 9,148,134,558.78
  5. Step 5: Solve for x
    x = 9,148,134,558.78/120,680.76
  6. Step 6: Final answer
    x = 75,804.42

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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.