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Finding the Fourth Proportional to 114,431.58, 171,489.42 and 82,587.78

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Solution

The fourth proportional to 114,431.58, 171,489.42 and 82,587.78 is: 123,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,431.58 : 171,489.42 = 82,587.78 : x
  2. Step 2: Convert to fraction form
    114,431.58/171,489.42 = 82,587.78/x
  3. Step 3: Cross multiply
    114,431.58x = 171,489.42 × 82,587.78
  4. Step 4: Simplify right side
    114,431.58x = 14,162,930,491.29
  5. Step 5: Solve for x
    x = 14,162,930,491.29/114,431.58
  6. Step 6: Final answer
    x = 123,767.67

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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.