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Finding the Fourth Proportional to 104,597.75, 156,898.35 and 54,775.14

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Solution

The fourth proportional to 104,597.75, 156,898.35 and 54,775.14 is: 82,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,597.75 : 156,898.35 = 54,775.14 : x
  2. Step 2: Convert to fraction form
    104,597.75/156,898.35 = 54,775.14/x
  3. Step 3: Cross multiply
    104,597.75x = 156,898.35 × 54,775.14
  4. Step 4: Simplify right side
    104,597.75x = 8,594,129,087.02
  5. Step 5: Solve for x
    x = 8,594,129,087.02/104,597.75
  6. Step 6: Final answer
    x = 82,163.62

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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.