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Finding the Fourth Proportional to 245,846.80, 368,381.40 and 206,189.20

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Solution

The fourth proportional to 245,846.80, 368,381.40 and 206,189.20 is: 308,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,846.80 : 368,381.40 = 206,189.20 : x
  2. Step 2: Convert to fraction form
    245,846.80/368,381.40 = 206,189.20/x
  3. Step 3: Cross multiply
    245,846.80x = 368,381.40 × 206,189.20
  4. Step 4: Simplify right side
    245,846.80x = 75,956,266,160.88
  5. Step 5: Solve for x
    x = 75,956,266,160.88/245,846.80
  6. Step 6: Final answer
    x = 308,957.72

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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.