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Finding the Fourth Proportional to 241,046.56, 361,423.99 and 107,902

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Solution

The fourth proportional to 241,046.56, 361,423.99 and 107,902 is: 161,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,046.56 : 361,423.99 = 107,902 : x
  2. Step 2: Convert to fraction form
    241,046.56/361,423.99 = 107,902/x
  3. Step 3: Cross multiply
    241,046.56x = 361,423.99 × 107,902
  4. Step 4: Simplify right side
    241,046.56x = 38,998,371,368.98
  5. Step 5: Solve for x
    x = 38,998,371,368.98/241,046.56
  6. Step 6: Final answer
    x = 161,787.71

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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.