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Finding the Fourth Proportional to 134,843, 186,083.42 and 75,227

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Solution

The fourth proportional to 134,843, 186,083.42 and 75,227 is: 103,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,843 : 186,083.42 = 75,227 : x
  2. Step 2: Convert to fraction form
    134,843/186,083.42 = 75,227/x
  3. Step 3: Cross multiply
    134,843x = 186,083.42 × 75,227
  4. Step 4: Simplify right side
    134,843x = 13,998,497,436.34
  5. Step 5: Solve for x
    x = 13,998,497,436.34/134,843
  6. Step 6: Final answer
    x = 103,813.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.