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Finding the Fourth Proportional to 241,478.20, 362,217.30 and 83,722.60

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Solution

The fourth proportional to 241,478.20, 362,217.30 and 83,722.60 is: 125,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,478.20 : 362,217.30 = 83,722.60 : x
  2. Step 2: Convert to fraction form
    241,478.20/362,217.30 = 83,722.60/x
  3. Step 3: Cross multiply
    241,478.20x = 362,217.30 × 83,722.60
  4. Step 4: Simplify right side
    241,478.20x = 30,325,774,120.98
  5. Step 5: Solve for x
    x = 30,325,774,120.98/241,478.20
  6. Step 6: Final answer
    x = 125,583.90

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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.