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Finding the Fourth Proportional to 202,388.40, 303,582.60 and 163,022.40

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Solution

The fourth proportional to 202,388.40, 303,582.60 and 163,022.40 is: 244,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,388.40 : 303,582.60 = 163,022.40 : x
  2. Step 2: Convert to fraction form
    202,388.40/303,582.60 = 163,022.40/x
  3. Step 3: Cross multiply
    202,388.40x = 303,582.60 × 163,022.40
  4. Step 4: Simplify right side
    202,388.40x = 49,490,764,050.24
  5. Step 5: Solve for x
    x = 49,490,764,050.24/202,388.40
  6. Step 6: Final answer
    x = 244,533.60

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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.