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Finding the Fourth Proportional to 225,993.90, 311,870.61 and 124,021.02

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Solution

The fourth proportional to 225,993.90, 311,870.61 and 124,021.02 is: 171,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,993.90 : 311,870.61 = 124,021.02 : x
  2. Step 2: Convert to fraction form
    225,993.90/311,870.61 = 124,021.02/x
  3. Step 3: Cross multiply
    225,993.90x = 311,870.61 × 124,021.02
  4. Step 4: Simplify right side
    225,993.90x = 38,678,511,160.22
  5. Step 5: Solve for x
    x = 38,678,511,160.22/225,993.90
  6. Step 6: Final answer
    x = 171,148.47

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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.