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Finding the Fourth Proportional to 172,003.80, 258,059.70 and 83,260.20

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Solution

The fourth proportional to 172,003.80, 258,059.70 and 83,260.20 is: 124,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,003.80 : 258,059.70 = 83,260.20 : x
  2. Step 2: Convert to fraction form
    172,003.80/258,059.70 = 83,260.20/x
  3. Step 3: Cross multiply
    172,003.80x = 258,059.70 × 83,260.20
  4. Step 4: Simplify right side
    172,003.80x = 21,486,102,233.94
  5. Step 5: Solve for x
    x = 21,486,102,233.94/172,003.80
  6. Step 6: Final answer
    x = 124,916.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.