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Finding the Fourth Proportional to 266,114.82, 399,343.54 and 106,163.44

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Solution

The fourth proportional to 266,114.82, 399,343.54 and 106,163.44 is: 159,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,114.82 : 399,343.54 = 106,163.44 : x
  2. Step 2: Convert to fraction form
    266,114.82/399,343.54 = 106,163.44/x
  3. Step 3: Cross multiply
    266,114.82x = 399,343.54 × 106,163.44
  4. Step 4: Simplify right side
    266,114.82x = 42,395,683,948.18
  5. Step 5: Solve for x
    x = 42,395,683,948.18/266,114.82
  6. Step 6: Final answer
    x = 159,313.50

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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.