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Finding the Fourth Proportional to 141,872.64, 195,762.60 and 84,494.40

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Solution

The fourth proportional to 141,872.64, 195,762.60 and 84,494.40 is: 116,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,872.64 : 195,762.60 = 84,494.40 : x
  2. Step 2: Convert to fraction form
    141,872.64/195,762.60 = 84,494.40/x
  3. Step 3: Cross multiply
    141,872.64x = 195,762.60 × 84,494.40
  4. Step 4: Simplify right side
    141,872.64x = 16,540,843,429.44
  5. Step 5: Solve for x
    x = 16,540,843,429.44/141,872.64
  6. Step 6: Final answer
    x = 116,589.38

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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.