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Finding the Fourth Proportional to 266,378.49, 399,524.60 and 97,857.38

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Solution

The fourth proportional to 266,378.49, 399,524.60 and 97,857.38 is: 146,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,378.49 : 399,524.60 = 97,857.38 : x
  2. Step 2: Convert to fraction form
    266,378.49/399,524.60 = 97,857.38/x
  3. Step 3: Cross multiply
    266,378.49x = 399,524.60 × 97,857.38
  4. Step 4: Simplify right side
    266,378.49x = 39,096,431,845.00
  5. Step 5: Solve for x
    x = 39,096,431,845.00/266,378.49
  6. Step 6: Final answer
    x = 146,770.23

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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.