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Finding the Fourth Proportional to 118,890.94, 178,346.14 and 48,770.86

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Solution

The fourth proportional to 118,890.94, 178,346.14 and 48,770.86 is: 73,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,890.94 : 178,346.14 = 48,770.86 : x
  2. Step 2: Convert to fraction form
    118,890.94/178,346.14 = 48,770.86/x
  3. Step 3: Cross multiply
    118,890.94x = 178,346.14 × 48,770.86
  4. Step 4: Simplify right side
    118,890.94x = 8,698,094,625.48
  5. Step 5: Solve for x
    x = 8,698,094,625.48/118,890.94
  6. Step 6: Final answer
    x = 73,160.28

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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.