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Finding the Fourth Proportional to 141,272.68, 194,956.74 and 77,614.60

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Solution

The fourth proportional to 141,272.68, 194,956.74 and 77,614.60 is: 107,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,272.68 : 194,956.74 = 77,614.60 : x
  2. Step 2: Convert to fraction form
    141,272.68/194,956.74 = 77,614.60/x
  3. Step 3: Cross multiply
    141,272.68x = 194,956.74 × 77,614.60
  4. Step 4: Simplify right side
    141,272.68x = 15,131,489,392.40
  5. Step 5: Solve for x
    x = 15,131,489,392.40/141,272.68
  6. Step 6: Final answer
    x = 107,108.39

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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.