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Finding the Fourth Proportional to 172,002.30, 258,003.45 and 83,428.80

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Solution

The fourth proportional to 172,002.30, 258,003.45 and 83,428.80 is: 125,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,002.30 : 258,003.45 = 83,428.80 : x
  2. Step 2: Convert to fraction form
    172,002.30/258,003.45 = 83,428.80/x
  3. Step 3: Cross multiply
    172,002.30x = 258,003.45 × 83,428.80
  4. Step 4: Simplify right side
    172,002.30x = 21,524,918,229.36
  5. Step 5: Solve for x
    x = 21,524,918,229.36/172,002.30
  6. Step 6: Final answer
    x = 125,143.20

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