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Finding the Fourth Proportional to 141,857.44, 195,763.30 and 78,196.64

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Solution

The fourth proportional to 141,857.44, 195,763.30 and 78,196.64 is: 107,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,857.44 : 195,763.30 = 78,196.64 : x
  2. Step 2: Convert to fraction form
    141,857.44/195,763.30 = 78,196.64/x
  3. Step 3: Cross multiply
    141,857.44x = 195,763.30 × 78,196.64
  4. Step 4: Simplify right side
    141,857.44x = 15,308,032,295.31
  5. Step 5: Solve for x
    x = 15,308,032,295.31/141,857.44
  6. Step 6: Final answer
    x = 107,911.38

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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.