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Finding the Fourth Proportional to 97,454.20, 146,181.30 and 73,834.60

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Solution

The fourth proportional to 97,454.20, 146,181.30 and 73,834.60 is: 110,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,454.20 : 146,181.30 = 73,834.60 : x
  2. Step 2: Convert to fraction form
    97,454.20/146,181.30 = 73,834.60/x
  3. Step 3: Cross multiply
    97,454.20x = 146,181.30 × 73,834.60
  4. Step 4: Simplify right side
    97,454.20x = 10,793,237,812.98
  5. Step 5: Solve for x
    x = 10,793,237,812.98/97,454.20
  6. Step 6: Final answer
    x = 110,751.90

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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.