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Finding the Fourth Proportional to 206,983.80, 310,475.70 and 74,014.20

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Solution

The fourth proportional to 206,983.80, 310,475.70 and 74,014.20 is: 111,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,983.80 : 310,475.70 = 74,014.20 : x
  2. Step 2: Convert to fraction form
    206,983.80/310,475.70 = 74,014.20/x
  3. Step 3: Cross multiply
    206,983.80x = 310,475.70 × 74,014.20
  4. Step 4: Simplify right side
    206,983.80x = 22,979,610,554.94
  5. Step 5: Solve for x
    x = 22,979,610,554.94/206,983.80
  6. Step 6: Final answer
    x = 111,021.30

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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.