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Finding the Fourth Proportional to 104,380.88, 156,755.46 and 77,734.10

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Solution

The fourth proportional to 104,380.88, 156,755.46 and 77,734.10 is: 116,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,380.88 : 156,755.46 = 77,734.10 : x
  2. Step 2: Convert to fraction form
    104,380.88/156,755.46 = 77,734.10/x
  3. Step 3: Cross multiply
    104,380.88x = 156,755.46 × 77,734.10
  4. Step 4: Simplify right side
    104,380.88x = 12,185,244,603.19
  5. Step 5: Solve for x
    x = 12,185,244,603.19/104,380.88
  6. Step 6: Final answer
    x = 116,738.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.