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Finding the Fourth Proportional to 202,229.60, 303,927.60 and 176,568.80

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Solution

The fourth proportional to 202,229.60, 303,927.60 and 176,568.80 is: 265,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,229.60 : 303,927.60 = 176,568.80 : x
  2. Step 2: Convert to fraction form
    202,229.60/303,927.60 = 176,568.80/x
  3. Step 3: Cross multiply
    202,229.60x = 303,927.60 × 176,568.80
  4. Step 4: Simplify right side
    202,229.60x = 53,664,131,618.88
  5. Step 5: Solve for x
    x = 53,664,131,618.88/202,229.60
  6. Step 6: Final answer
    x = 265,362.40

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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.