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Finding the Fourth Proportional to 203,936.81, 305,905.30 and 77,547.87

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Solution

The fourth proportional to 203,936.81, 305,905.30 and 77,547.87 is: 116,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,936.81 : 305,905.30 = 77,547.87 : x
  2. Step 2: Convert to fraction form
    203,936.81/305,905.30 = 77,547.87/x
  3. Step 3: Cross multiply
    203,936.81x = 305,905.30 × 77,547.87
  4. Step 4: Simplify right side
    203,936.81x = 23,722,304,242.84
  5. Step 5: Solve for x
    x = 23,722,304,242.84/203,936.81
  6. Step 6: Final answer
    x = 116,321.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.