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Finding the Fourth Proportional to 216,464.80, 324,697.20 and 163,976.80

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Solution

The fourth proportional to 216,464.80, 324,697.20 and 163,976.80 is: 245,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,464.80 : 324,697.20 = 163,976.80 : x
  2. Step 2: Convert to fraction form
    216,464.80/324,697.20 = 163,976.80/x
  3. Step 3: Cross multiply
    216,464.80x = 324,697.20 × 163,976.80
  4. Step 4: Simplify right side
    216,464.80x = 53,242,807,824.96
  5. Step 5: Solve for x
    x = 53,242,807,824.96/216,464.80
  6. Step 6: Final answer
    x = 245,965.20

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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.