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Finding the Fourth Proportional to 225,761.76, 311,538.24 and 123,767.52

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Solution

The fourth proportional to 225,761.76, 311,538.24 and 123,767.52 is: 170,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,761.76 : 311,538.24 = 123,767.52 : x
  2. Step 2: Convert to fraction form
    225,761.76/311,538.24 = 123,767.52/x
  3. Step 3: Cross multiply
    225,761.76x = 311,538.24 × 123,767.52
  4. Step 4: Simplify right side
    225,761.76x = 38,558,315,349.96
  5. Step 5: Solve for x
    x = 38,558,315,349.96/225,761.76
  6. Step 6: Final answer
    x = 170,792.06

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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.