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Finding the Fourth Proportional to 141,930.64, 195,873.96 and 82,314.64

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Solution

The fourth proportional to 141,930.64, 195,873.96 and 82,314.64 is: 113,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,930.64 : 195,873.96 = 82,314.64 : x
  2. Step 2: Convert to fraction form
    141,930.64/195,873.96 = 82,314.64/x
  3. Step 3: Cross multiply
    141,930.64x = 195,873.96 × 82,314.64
  4. Step 4: Simplify right side
    141,930.64x = 16,123,294,502.77
  5. Step 5: Solve for x
    x = 16,123,294,502.77/141,930.64
  6. Step 6: Final answer
    x = 113,599.82

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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.