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Finding the Fourth Proportional to 133,877.76, 200,838.72 and 54,971.04

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Solution

The fourth proportional to 133,877.76, 200,838.72 and 54,971.04 is: 82,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,877.76 : 200,838.72 = 54,971.04 : x
  2. Step 2: Convert to fraction form
    133,877.76/200,838.72 = 54,971.04/x
  3. Step 3: Cross multiply
    133,877.76x = 200,838.72 × 54,971.04
  4. Step 4: Simplify right side
    133,877.76x = 11,040,313,310.67
  5. Step 5: Solve for x
    x = 11,040,313,310.67/133,877.76
  6. Step 6: Final answer
    x = 82,465.63

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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.