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Finding the Fourth Proportional to 141,023.48, 194,611.34 and 77,360.84

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Solution

The fourth proportional to 141,023.48, 194,611.34 and 77,360.84 is: 106,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,023.48 : 194,611.34 = 77,360.84 : x
  2. Step 2: Convert to fraction form
    141,023.48/194,611.34 = 77,360.84/x
  3. Step 3: Cross multiply
    141,023.48x = 194,611.34 × 77,360.84
  4. Step 4: Simplify right side
    141,023.48x = 15,055,296,735.93
  5. Step 5: Solve for x
    x = 15,055,296,735.93/141,023.48
  6. Step 6: Final answer
    x = 106,757.38

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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.