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Finding the Fourth Proportional to 200,721.81, 277,008.36 and 115,844.34

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Solution

The fourth proportional to 200,721.81, 277,008.36 and 115,844.34 is: 159,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721.81 : 277,008.36 = 115,844.34 : x
  2. Step 2: Convert to fraction form
    200,721.81/277,008.36 = 115,844.34/x
  3. Step 3: Cross multiply
    200,721.81x = 277,008.36 × 115,844.34
  4. Step 4: Simplify right side
    200,721.81x = 32,089,850,638.68
  5. Step 5: Solve for x
    x = 32,089,850,638.68/200,721.81
  6. Step 6: Final answer
    x = 159,872.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.