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Finding the Fourth Proportional to 203,142.74, 304,830.77 and 158,644.58

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Solution

The fourth proportional to 203,142.74, 304,830.77 and 158,644.58 is: 238,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142.74 : 304,830.77 = 158,644.58 : x
  2. Step 2: Convert to fraction form
    203,142.74/304,830.77 = 158,644.58/x
  3. Step 3: Cross multiply
    203,142.74x = 304,830.77 × 158,644.58
  4. Step 4: Simplify right side
    203,142.74x = 48,359,747,160.35
  5. Step 5: Solve for x
    x = 48,359,747,160.35/203,142.74
  6. Step 6: Final answer
    x = 238,057.97

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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.