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Finding the Fourth Proportional to 178,673.65, 267,845.97 and 77,408.06

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Solution

The fourth proportional to 178,673.65, 267,845.97 and 77,408.06 is: 116,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,673.65 : 267,845.97 = 77,408.06 : x
  2. Step 2: Convert to fraction form
    178,673.65/267,845.97 = 77,408.06/x
  3. Step 3: Cross multiply
    178,673.65x = 267,845.97 × 77,408.06
  4. Step 4: Simplify right side
    178,673.65x = 20,733,436,916.52
  5. Step 5: Solve for x
    x = 20,733,436,916.52/178,673.65
  6. Step 6: Final answer
    x = 116,040.82

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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.