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Finding the Fourth Proportional to 135,141.33, 186,511.38 and 84,830.61

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Solution

The fourth proportional to 135,141.33, 186,511.38 and 84,830.61 is: 117,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,141.33 : 186,511.38 = 84,830.61 : x
  2. Step 2: Convert to fraction form
    135,141.33/186,511.38 = 84,830.61/x
  3. Step 3: Cross multiply
    135,141.33x = 186,511.38 × 84,830.61
  4. Step 4: Simplify right side
    135,141.33x = 15,821,874,137.34
  5. Step 5: Solve for x
    x = 15,821,874,137.34/135,141.33
  6. Step 6: Final answer
    x = 117,076.50

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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.