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Finding the Fourth Proportional to 233,872.74, 322,745.17 and 126,443.54

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Solution

The fourth proportional to 233,872.74, 322,745.17 and 126,443.54 is: 174,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,872.74 : 322,745.17 = 126,443.54 : x
  2. Step 2: Convert to fraction form
    233,872.74/322,745.17 = 126,443.54/x
  3. Step 3: Cross multiply
    233,872.74x = 322,745.17 × 126,443.54
  4. Step 4: Simplify right side
    233,872.74x = 40,809,041,812.70
  5. Step 5: Solve for x
    x = 40,809,041,812.70/233,872.74
  6. Step 6: Final answer
    x = 174,492.51

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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.