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Finding the Fourth Proportional to 203,304.44, 280,700.16 and 155,474.48

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Solution

The fourth proportional to 203,304.44, 280,700.16 and 155,474.48 is: 214,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,304.44 : 280,700.16 = 155,474.48 : x
  2. Step 2: Convert to fraction form
    203,304.44/280,700.16 = 155,474.48/x
  3. Step 3: Cross multiply
    203,304.44x = 280,700.16 × 155,474.48
  4. Step 4: Simplify right side
    203,304.44x = 43,641,711,411.92
  5. Step 5: Solve for x
    x = 43,641,711,411.92/203,304.44
  6. Step 6: Final answer
    x = 214,661.87

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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.