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Finding the Fourth Proportional to 277,450.24, 382,852.02 and 161,141

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Solution

The fourth proportional to 277,450.24, 382,852.02 and 161,141 is: 222,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,450.24 : 382,852.02 = 161,141 : x
  2. Step 2: Convert to fraction form
    277,450.24/382,852.02 = 161,141/x
  3. Step 3: Cross multiply
    277,450.24x = 382,852.02 × 161,141
  4. Step 4: Simplify right side
    277,450.24x = 61,693,157,354.82
  5. Step 5: Solve for x
    x = 61,693,157,354.82/277,450.24
  6. Step 6: Final answer
    x = 222,357.56

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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.