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Finding the Fourth Proportional to 178,476.75, 267,726.06 and 53,817.75

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Solution

The fourth proportional to 178,476.75, 267,726.06 and 53,817.75 is: 80,729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,476.75 : 267,726.06 = 53,817.75 : x
  2. Step 2: Convert to fraction form
    178,476.75/267,726.06 = 53,817.75/x
  3. Step 3: Cross multiply
    178,476.75x = 267,726.06 × 53,817.75
  4. Step 4: Simplify right side
    178,476.75x = 14,408,414,165.57
  5. Step 5: Solve for x
    x = 14,408,414,165.57/178,476.75
  6. Step 6: Final answer
    x = 80,729.92

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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.