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Finding the Fourth Proportional to 225,993, 311,869.50 and 124,020.20

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Solution

The fourth proportional to 225,993, 311,869.50 and 124,020.20 is: 171,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,993 : 311,869.50 = 124,020.20 : x
  2. Step 2: Convert to fraction form
    225,993/311,869.50 = 124,020.20/x
  3. Step 3: Cross multiply
    225,993x = 311,869.50 × 124,020.20
  4. Step 4: Simplify right side
    225,993x = 38,678,117,763.90
  5. Step 5: Solve for x
    x = 38,678,117,763.90/225,993
  6. Step 6: Final answer
    x = 171,147.42

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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.