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Finding the Fourth Proportional to 225,855.72, 338,728.50 and 76,057.02

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Solution

The fourth proportional to 225,855.72, 338,728.50 and 76,057.02 is: 114,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,855.72 : 338,728.50 = 76,057.02 : x
  2. Step 2: Convert to fraction form
    225,855.72/338,728.50 = 76,057.02/x
  3. Step 3: Cross multiply
    225,855.72x = 338,728.50 × 76,057.02
  4. Step 4: Simplify right side
    225,855.72x = 25,762,680,299.07
  5. Step 5: Solve for x
    x = 25,762,680,299.07/225,855.72
  6. Step 6: Final answer
    x = 114,066.98

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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.