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Finding the Fourth Proportional to 202,939.80, 304,409.70 and 109,627.80

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Solution

The fourth proportional to 202,939.80, 304,409.70 and 109,627.80 is: 164,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,939.80 : 304,409.70 = 109,627.80 : x
  2. Step 2: Convert to fraction form
    202,939.80/304,409.70 = 109,627.80/x
  3. Step 3: Cross multiply
    202,939.80x = 304,409.70 × 109,627.80
  4. Step 4: Simplify right side
    202,939.80x = 33,371,765,709.66
  5. Step 5: Solve for x
    x = 33,371,765,709.66/202,939.80
  6. Step 6: Final answer
    x = 164,441.70

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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.