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Finding the Fourth Proportional to 141,067.76, 194,677.80 and 77,409.68

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Solution

The fourth proportional to 141,067.76, 194,677.80 and 77,409.68 is: 106,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,067.76 : 194,677.80 = 77,409.68 : x
  2. Step 2: Convert to fraction form
    141,067.76/194,677.80 = 77,409.68/x
  3. Step 3: Cross multiply
    141,067.76x = 194,677.80 × 77,409.68
  4. Step 4: Simplify right side
    141,067.76x = 15,069,946,201.10
  5. Step 5: Solve for x
    x = 15,069,946,201.10/141,067.76
  6. Step 6: Final answer
    x = 106,827.71

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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.