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Finding the Fourth Proportional to 132,762.34, 199,035.43 and 61,729.70

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Solution

The fourth proportional to 132,762.34, 199,035.43 and 61,729.70 is: 92,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,762.34 : 199,035.43 = 61,729.70 : x
  2. Step 2: Convert to fraction form
    132,762.34/199,035.43 = 61,729.70/x
  3. Step 3: Cross multiply
    132,762.34x = 199,035.43 × 61,729.70
  4. Step 4: Simplify right side
    132,762.34x = 12,286,396,233.77
  5. Step 5: Solve for x
    x = 12,286,396,233.77/132,762.34
  6. Step 6: Final answer
    x = 92,544.29

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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.