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Finding the Fourth Proportional to 118,076.88, 177,049.58 and 47,874.18

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Solution

The fourth proportional to 118,076.88, 177,049.58 and 47,874.18 is: 71,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,076.88 : 177,049.58 = 47,874.18 : x
  2. Step 2: Convert to fraction form
    118,076.88/177,049.58 = 47,874.18/x
  3. Step 3: Cross multiply
    118,076.88x = 177,049.58 × 47,874.18
  4. Step 4: Simplify right side
    118,076.88x = 8,476,103,461.84
  5. Step 5: Solve for x
    x = 8,476,103,461.84/118,076.88
  6. Step 6: Final answer
    x = 71,784.62

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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.