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Finding the Fourth Proportional to 102,014.20, 153,021.30 and 82,331.20

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Solution

The fourth proportional to 102,014.20, 153,021.30 and 82,331.20 is: 123,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014.20 : 153,021.30 = 82,331.20 : x
  2. Step 2: Convert to fraction form
    102,014.20/153,021.30 = 82,331.20/x
  3. Step 3: Cross multiply
    102,014.20x = 153,021.30 × 82,331.20
  4. Step 4: Simplify right side
    102,014.20x = 12,598,427,254.56
  5. Step 5: Solve for x
    x = 12,598,427,254.56/102,014.20
  6. Step 6: Final answer
    x = 123,496.80

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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.