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Finding the Fourth Proportional to 225,733.44, 311,510.43 and 123,757.68

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Solution

The fourth proportional to 225,733.44, 311,510.43 and 123,757.68 is: 170,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,733.44 : 311,510.43 = 123,757.68 : x
  2. Step 2: Convert to fraction form
    225,733.44/311,510.43 = 123,757.68/x
  3. Step 3: Cross multiply
    225,733.44x = 311,510.43 × 123,757.68
  4. Step 4: Simplify right side
    225,733.44x = 38,551,808,112.60
  5. Step 5: Solve for x
    x = 38,551,808,112.60/225,733.44
  6. Step 6: Final answer
    x = 170,784.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.