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Finding the Fourth Proportional to 202,803.20, 304,204.80 and 171,699.20

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Solution

The fourth proportional to 202,803.20, 304,204.80 and 171,699.20 is: 257,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,803.20 : 304,204.80 = 171,699.20 : x
  2. Step 2: Convert to fraction form
    202,803.20/304,204.80 = 171,699.20/x
  3. Step 3: Cross multiply
    202,803.20x = 304,204.80 × 171,699.20
  4. Step 4: Simplify right side
    202,803.20x = 52,231,720,796.16
  5. Step 5: Solve for x
    x = 52,231,720,796.16/202,803.20
  6. Step 6: Final answer
    x = 257,548.80

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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.