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Finding the Fourth Proportional to 264,852.38, 365,503.89 and 161,492.64

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Solution

The fourth proportional to 264,852.38, 365,503.89 and 161,492.64 is: 222,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,852.38 : 365,503.89 = 161,492.64 : x
  2. Step 2: Convert to fraction form
    264,852.38/365,503.89 = 161,492.64/x
  3. Step 3: Cross multiply
    264,852.38x = 365,503.89 × 161,492.64
  4. Step 4: Simplify right side
    264,852.38x = 59,026,187,361.33
  5. Step 5: Solve for x
    x = 59,026,187,361.33/264,852.38
  6. Step 6: Final answer
    x = 222,864.48

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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.