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Finding the Fourth Proportional to 132,352.89, 198,566.37 and 53,522.46

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Solution

The fourth proportional to 132,352.89, 198,566.37 and 53,522.46 is: 80,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,352.89 : 198,566.37 = 53,522.46 : x
  2. Step 2: Convert to fraction form
    132,352.89/198,566.37 = 53,522.46/x
  3. Step 3: Cross multiply
    132,352.89x = 198,566.37 × 53,522.46
  4. Step 4: Simplify right side
    132,352.89x = 10,627,760,595.67
  5. Step 5: Solve for x
    x = 10,627,760,595.67/132,352.89
  6. Step 6: Final answer
    x = 80,298.67

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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.