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Finding the Fourth Proportional to 132,635.41, 198,885.51 and 65,171.92

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Solution

The fourth proportional to 132,635.41, 198,885.51 and 65,171.92 is: 97,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,635.41 : 198,885.51 = 65,171.92 : x
  2. Step 2: Convert to fraction form
    132,635.41/198,885.51 = 65,171.92/x
  3. Step 3: Cross multiply
    132,635.41x = 198,885.51 × 65,171.92
  4. Step 4: Simplify right side
    132,635.41x = 12,961,751,207.02
  5. Step 5: Solve for x
    x = 12,961,751,207.02/132,635.41
  6. Step 6: Final answer
    x = 97,724.67

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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.