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Finding the Fourth Proportional to 200,768.68, 277,051.98 and 120,241

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Solution

The fourth proportional to 200,768.68, 277,051.98 and 120,241 is: 165,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.68 : 277,051.98 = 120,241 : x
  2. Step 2: Convert to fraction form
    200,768.68/277,051.98 = 120,241/x
  3. Step 3: Cross multiply
    200,768.68x = 277,051.98 × 120,241
  4. Step 4: Simplify right side
    200,768.68x = 33,313,007,127.18
  5. Step 5: Solve for x
    x = 33,313,007,127.18/200,768.68
  6. Step 6: Final answer
    x = 165,927.31

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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.