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Finding the Fourth Proportional to 132,844.50, 183,325.41 and 82,543.50

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Solution

The fourth proportional to 132,844.50, 183,325.41 and 82,543.50 is: 113,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,844.50 : 183,325.41 = 82,543.50 : x
  2. Step 2: Convert to fraction form
    132,844.50/183,325.41 = 82,543.50/x
  3. Step 3: Cross multiply
    132,844.50x = 183,325.41 × 82,543.50
  4. Step 4: Simplify right side
    132,844.50x = 15,132,320,980.34
  5. Step 5: Solve for x
    x = 15,132,320,980.34/132,844.50
  6. Step 6: Final answer
    x = 113,910.03

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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.