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Finding the Fourth Proportional to 202,914.48, 304,342.56 and 84,563.76

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Solution

The fourth proportional to 202,914.48, 304,342.56 and 84,563.76 is: 126,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,914.48 : 304,342.56 = 84,563.76 : x
  2. Step 2: Convert to fraction form
    202,914.48/304,342.56 = 84,563.76/x
  3. Step 3: Cross multiply
    202,914.48x = 304,342.56 × 84,563.76
  4. Step 4: Simplify right side
    202,914.48x = 25,736,351,201.63
  5. Step 5: Solve for x
    x = 25,736,351,201.63/202,914.48
  6. Step 6: Final answer
    x = 126,833.49

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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.