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Finding the Fourth Proportional to 141,915.77, 195,843.17 and 78,254.63

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Solution

The fourth proportional to 141,915.77, 195,843.17 and 78,254.63 is: 107,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,915.77 : 195,843.17 = 78,254.63 : x
  2. Step 2: Convert to fraction form
    141,915.77/195,843.17 = 78,254.63/x
  3. Step 3: Cross multiply
    141,915.77x = 195,843.17 × 78,254.63
  4. Step 4: Simplify right side
    141,915.77x = 15,325,634,806.38
  5. Step 5: Solve for x
    x = 15,325,634,806.38/141,915.77
  6. Step 6: Final answer
    x = 107,991.06

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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.