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Finding the Fourth Proportional to 178,046.60, 267,653.10 and 125,817.80

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Solution

The fourth proportional to 178,046.60, 267,653.10 and 125,817.80 is: 189,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,046.60 : 267,653.10 = 125,817.80 : x
  2. Step 2: Convert to fraction form
    178,046.60/267,653.10 = 125,817.80/x
  3. Step 3: Cross multiply
    178,046.60x = 267,653.10 × 125,817.80
  4. Step 4: Simplify right side
    178,046.60x = 33,675,524,205.18
  5. Step 5: Solve for x
    x = 33,675,524,205.18/178,046.60
  6. Step 6: Final answer
    x = 189,138.82

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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.