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Finding the Fourth Proportional to 203,121.62, 304,501.75 and 96,439.76

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Solution

The fourth proportional to 203,121.62, 304,501.75 and 96,439.76 is: 144,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,121.62 : 304,501.75 = 96,439.76 : x
  2. Step 2: Convert to fraction form
    203,121.62/304,501.75 = 96,439.76/x
  3. Step 3: Cross multiply
    203,121.62x = 304,501.75 × 96,439.76
  4. Step 4: Simplify right side
    203,121.62x = 29,366,076,390.56
  5. Step 5: Solve for x
    x = 29,366,076,390.56/203,121.62
  6. Step 6: Final answer
    x = 144,573.86

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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.