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Finding the Fourth Proportional to 274,219.76, 411,303.72 and 87,198.32

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Solution

The fourth proportional to 274,219.76, 411,303.72 and 87,198.32 is: 130,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,219.76 : 411,303.72 = 87,198.32 : x
  2. Step 2: Convert to fraction form
    274,219.76/411,303.72 = 87,198.32/x
  3. Step 3: Cross multiply
    274,219.76x = 411,303.72 × 87,198.32
  4. Step 4: Simplify right side
    274,219.76x = 35,864,993,393.75
  5. Step 5: Solve for x
    x = 35,864,993,393.75/274,219.76
  6. Step 6: Final answer
    x = 130,789.24

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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.