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Finding the Fourth Proportional to 118,891.94, 178,347.64 and 48,771.86

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Solution

The fourth proportional to 118,891.94, 178,347.64 and 48,771.86 is: 73,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,891.94 : 178,347.64 = 48,771.86 : x
  2. Step 2: Convert to fraction form
    118,891.94/178,347.64 = 48,771.86/x
  3. Step 3: Cross multiply
    118,891.94x = 178,347.64 × 48,771.86
  4. Step 4: Simplify right side
    118,891.94x = 8,698,346,129.41
  5. Step 5: Solve for x
    x = 8,698,346,129.41/118,891.94
  6. Step 6: Final answer
    x = 73,161.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.