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Finding the Fourth Proportional to 323,816.20, 485,724.30 and 102,200.20

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Solution

The fourth proportional to 323,816.20, 485,724.30 and 102,200.20 is: 153,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,816.20 : 485,724.30 = 102,200.20 : x
  2. Step 2: Convert to fraction form
    323,816.20/485,724.30 = 102,200.20/x
  3. Step 3: Cross multiply
    323,816.20x = 485,724.30 × 102,200.20
  4. Step 4: Simplify right side
    323,816.20x = 49,641,120,604.86
  5. Step 5: Solve for x
    x = 49,641,120,604.86/323,816.20
  6. Step 6: Final answer
    x = 153,300.30

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1.5x scale

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.