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Finding the Fourth Proportional to 132,093.68, 182,289.28 and 75,506.28

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Solution

The fourth proportional to 132,093.68, 182,289.28 and 75,506.28 is: 104,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,093.68 : 182,289.28 = 75,506.28 : x
  2. Step 2: Convert to fraction form
    132,093.68/182,289.28 = 75,506.28/x
  3. Step 3: Cross multiply
    132,093.68x = 182,289.28 × 75,506.28
  4. Step 4: Simplify right side
    132,093.68x = 13,763,985,416.68
  5. Step 5: Solve for x
    x = 13,763,985,416.68/132,093.68
  6. Step 6: Final answer
    x = 104,198.67

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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.