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Finding the Fourth Proportional to 266,163.98, 399,399.05 and 147,825.41

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Solution

The fourth proportional to 266,163.98, 399,399.05 and 147,825.41 is: 221,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,163.98 : 399,399.05 = 147,825.41 : x
  2. Step 2: Convert to fraction form
    266,163.98/399,399.05 = 147,825.41/x
  3. Step 3: Cross multiply
    266,163.98x = 399,399.05 × 147,825.41
  4. Step 4: Simplify right side
    266,163.98x = 59,041,326,692.43
  5. Step 5: Solve for x
    x = 59,041,326,692.43/266,163.98
  6. Step 6: Final answer
    x = 221,823.13

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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.