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Finding the Fourth Proportional to 225,851.75, 311,675.86 and 123,878.04

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Solution

The fourth proportional to 225,851.75, 311,675.86 and 123,878.04 is: 170,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,851.75 : 311,675.86 = 123,878.04 : x
  2. Step 2: Convert to fraction form
    225,851.75/311,675.86 = 123,878.04/x
  3. Step 3: Cross multiply
    225,851.75x = 311,675.86 × 123,878.04
  4. Step 4: Simplify right side
    225,851.75x = 38,609,795,565.56
  5. Step 5: Solve for x
    x = 38,609,795,565.56/225,851.75
  6. Step 6: Final answer
    x = 170,951.94

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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.