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Finding the Fourth Proportional to 202,558.80, 303,400.80 and 176,314.80

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Solution

The fourth proportional to 202,558.80, 303,400.80 and 176,314.80 is: 264,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,558.80 : 303,400.80 = 176,314.80 : x
  2. Step 2: Convert to fraction form
    202,558.80/303,400.80 = 176,314.80/x
  3. Step 3: Cross multiply
    202,558.80x = 303,400.80 × 176,314.80
  4. Step 4: Simplify right side
    202,558.80x = 53,494,051,371.84
  5. Step 5: Solve for x
    x = 53,494,051,371.84/202,558.80
  6. Step 6: Final answer
    x = 264,091.47

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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.