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Finding the Fourth Proportional to 104,054.64, 156,105 and 57,283.44

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Solution

The fourth proportional to 104,054.64, 156,105 and 57,283.44 is: 85,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,054.64 : 156,105 = 57,283.44 : x
  2. Step 2: Convert to fraction form
    104,054.64/156,105 = 57,283.44/x
  3. Step 3: Cross multiply
    104,054.64x = 156,105 × 57,283.44
  4. Step 4: Simplify right side
    104,054.64x = 8,942,231,401.20
  5. Step 5: Solve for x
    x = 8,942,231,401.20/104,054.64
  6. Step 6: Final answer
    x = 85,937.84

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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.