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Finding the Fourth Proportional to 202,872.80, 304,309.20 and 187,709.60

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Solution

The fourth proportional to 202,872.80, 304,309.20 and 187,709.60 is: 281,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,872.80 : 304,309.20 = 187,709.60 : x
  2. Step 2: Convert to fraction form
    202,872.80/304,309.20 = 187,709.60/x
  3. Step 3: Cross multiply
    202,872.80x = 304,309.20 × 187,709.60
  4. Step 4: Simplify right side
    202,872.80x = 57,121,758,208.32
  5. Step 5: Solve for x
    x = 57,121,758,208.32/202,872.80
  6. Step 6: Final answer
    x = 281,564.40

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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.