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Finding the Fourth Proportional to 266,064.80, 399,097.20 and 126,096.80

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Solution

The fourth proportional to 266,064.80, 399,097.20 and 126,096.80 is: 189,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,064.80 : 399,097.20 = 126,096.80 : x
  2. Step 2: Convert to fraction form
    266,064.80/399,097.20 = 126,096.80/x
  3. Step 3: Cross multiply
    266,064.80x = 399,097.20 × 126,096.80
  4. Step 4: Simplify right side
    266,064.80x = 50,324,879,808.96
  5. Step 5: Solve for x
    x = 50,324,879,808.96/266,064.80
  6. Step 6: Final answer
    x = 189,145.20

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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.