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Finding the Fourth Proportional to 203,266.54, 304,737 and 96,596.97

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Solution

The fourth proportional to 203,266.54, 304,737 and 96,596.97 is: 144,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,266.54 : 304,737 = 96,596.97 : x
  2. Step 2: Convert to fraction form
    203,266.54/304,737 = 96,596.97/x
  3. Step 3: Cross multiply
    203,266.54x = 304,737 × 96,596.97
  4. Step 4: Simplify right side
    203,266.54x = 29,436,670,846.89
  5. Step 5: Solve for x
    x = 29,436,670,846.89/203,266.54
  6. Step 6: Final answer
    x = 144,818.08

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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.