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Finding the Fourth Proportional to 203,463.84, 305,133.36 and 140,687.34

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Solution

The fourth proportional to 203,463.84, 305,133.36 and 140,687.34 is: 210,987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.84 : 305,133.36 = 140,687.34 : x
  2. Step 2: Convert to fraction form
    203,463.84/305,133.36 = 140,687.34/x
  3. Step 3: Cross multiply
    203,463.84x = 305,133.36 × 140,687.34
  4. Step 4: Simplify right side
    203,463.84x = 42,928,400,763.66
  5. Step 5: Solve for x
    x = 42,928,400,763.66/203,463.84
  6. Step 6: Final answer
    x = 210,987.86

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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.