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Finding the Fourth Proportional to 118,843.68, 178,261.86 and 48,670.14

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Solution

The fourth proportional to 118,843.68, 178,261.86 and 48,670.14 is: 73,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,843.68 : 178,261.86 = 48,670.14 : x
  2. Step 2: Convert to fraction form
    118,843.68/178,261.86 = 48,670.14/x
  3. Step 3: Cross multiply
    118,843.68x = 178,261.86 × 48,670.14
  4. Step 4: Simplify right side
    118,843.68x = 8,676,029,682.86
  5. Step 5: Solve for x
    x = 8,676,029,682.86/118,843.68
  6. Step 6: Final answer
    x = 73,003.71

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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.