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Finding the Fourth Proportional to 131,046.44, 180,787.14 and 83,274.14

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Solution

The fourth proportional to 131,046.44, 180,787.14 and 83,274.14 is: 114,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,046.44 : 180,787.14 = 83,274.14 : x
  2. Step 2: Convert to fraction form
    131,046.44/180,787.14 = 83,274.14/x
  3. Step 3: Cross multiply
    131,046.44x = 180,787.14 × 83,274.14
  4. Step 4: Simplify right side
    131,046.44x = 15,054,893,606.56
  5. Step 5: Solve for x
    x = 15,054,893,606.56/131,046.44
  6. Step 6: Final answer
    x = 114,882.13

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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.