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Finding the Fourth Proportional to 120,116.49, 180,063.30 and 56,966.15

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Solution

The fourth proportional to 120,116.49, 180,063.30 and 56,966.15 is: 85,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,116.49 : 180,063.30 = 56,966.15 : x
  2. Step 2: Convert to fraction form
    120,116.49/180,063.30 = 56,966.15/x
  3. Step 3: Cross multiply
    120,116.49x = 180,063.30 × 56,966.15
  4. Step 4: Simplify right side
    120,116.49x = 10,257,512,056.98
  5. Step 5: Solve for x
    x = 10,257,512,056.98/120,116.49
  6. Step 6: Final answer
    x = 85,396.37

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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.