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Finding the Fourth Proportional to 132,198.32, 182,504.80 and 101,917.28

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Solution

The fourth proportional to 132,198.32, 182,504.80 and 101,917.28 is: 140,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,198.32 : 182,504.80 = 101,917.28 : x
  2. Step 2: Convert to fraction form
    132,198.32/182,504.80 = 101,917.28/x
  3. Step 3: Cross multiply
    132,198.32x = 182,504.80 × 101,917.28
  4. Step 4: Simplify right side
    132,198.32x = 18,600,392,802.94
  5. Step 5: Solve for x
    x = 18,600,392,802.94/132,198.32
  6. Step 6: Final answer
    x = 140,700.67

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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.