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Finding the Fourth Proportional to 802,108.88, 1,203,150.40 and 194,902

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Solution

The fourth proportional to 802,108.88, 1,203,150.40 and 194,902 is: 292,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,108.88 : 1,203,150.40 = 194,902 : x
  2. Step 2: Convert to fraction form
    802,108.88/1,203,150.40 = 194,902/x
  3. Step 3: Cross multiply
    802,108.88x = 1,203,150.40 × 194,902
  4. Step 4: Simplify right side
    802,108.88x = 234,496,419,260.80
  5. Step 5: Solve for x
    x = 234,496,419,260.80/802,108.88
  6. Step 6: Final answer
    x = 292,349.86

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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.