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Finding the Fourth Proportional to 141,858.26, 195,763.22 and 77,326.32

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Solution

The fourth proportional to 141,858.26, 195,763.22 and 77,326.32 is: 106,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,858.26 : 195,763.22 = 77,326.32 : x
  2. Step 2: Convert to fraction form
    141,858.26/195,763.22 = 77,326.32/x
  3. Step 3: Cross multiply
    141,858.26x = 195,763.22 × 77,326.32
  4. Step 4: Simplify right side
    141,858.26x = 15,137,649,393.95
  5. Step 5: Solve for x
    x = 15,137,649,393.95/141,858.26
  6. Step 6: Final answer
    x = 106,709.68

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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.