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Finding the Fourth Proportional to 266,257.50, 367,438.38 and 145,400.22

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Solution

The fourth proportional to 266,257.50, 367,438.38 and 145,400.22 is: 200,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,257.50 : 367,438.38 = 145,400.22 : x
  2. Step 2: Convert to fraction form
    266,257.50/367,438.38 = 145,400.22/x
  3. Step 3: Cross multiply
    266,257.50x = 367,438.38 × 145,400.22
  4. Step 4: Simplify right side
    266,257.50x = 53,425,621,288.44
  5. Step 5: Solve for x
    x = 53,425,621,288.44/266,257.50
  6. Step 6: Final answer
    x = 200,653.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.