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Finding the Fourth Proportional to 202,809.20, 304,732.20 and 179,999.60

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Solution

The fourth proportional to 202,809.20, 304,732.20 and 179,999.60 is: 270,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,809.20 : 304,732.20 = 179,999.60 : x
  2. Step 2: Convert to fraction form
    202,809.20/304,732.20 = 179,999.60/x
  3. Step 3: Cross multiply
    202,809.20x = 304,732.20 × 179,999.60
  4. Step 4: Simplify right side
    202,809.20x = 54,851,674,107.12
  5. Step 5: Solve for x
    x = 54,851,674,107.12/202,809.20
  6. Step 6: Final answer
    x = 270,459.50

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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.