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Finding the Fourth Proportional to 266,961.98, 368,396.42 and 146,100.26

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Solution

The fourth proportional to 266,961.98, 368,396.42 and 146,100.26 is: 201,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,961.98 : 368,396.42 = 146,100.26 : x
  2. Step 2: Convert to fraction form
    266,961.98/368,396.42 = 146,100.26/x
  3. Step 3: Cross multiply
    266,961.98x = 368,396.42 × 146,100.26
  4. Step 4: Simplify right side
    266,961.98x = 53,822,812,745.07
  5. Step 5: Solve for x
    x = 53,822,812,745.07/266,961.98
  6. Step 6: Final answer
    x = 201,612.28

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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.