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Finding the Fourth Proportional to 141,134.86, 194,764.90 and 77,468.86

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Solution

The fourth proportional to 141,134.86, 194,764.90 and 77,468.86 is: 106,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,134.86 : 194,764.90 = 77,468.86 : x
  2. Step 2: Convert to fraction form
    141,134.86/194,764.90 = 77,468.86/x
  3. Step 3: Cross multiply
    141,134.86x = 194,764.90 × 77,468.86
  4. Step 4: Simplify right side
    141,134.86x = 15,088,214,771.01
  5. Step 5: Solve for x
    x = 15,088,214,771.01/141,134.86
  6. Step 6: Final answer
    x = 106,906.36

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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.