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Finding the Fourth Proportional to 178,719.40, 267,641.70 and 85,115.80

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Solution

The fourth proportional to 178,719.40, 267,641.70 and 85,115.80 is: 127,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,719.40 : 267,641.70 = 85,115.80 : x
  2. Step 2: Convert to fraction form
    178,719.40/267,641.70 = 85,115.80/x
  3. Step 3: Cross multiply
    178,719.40x = 267,641.70 × 85,115.80
  4. Step 4: Simplify right side
    178,719.40x = 22,780,537,408.86
  5. Step 5: Solve for x
    x = 22,780,537,408.86/178,719.40
  6. Step 6: Final answer
    x = 127,465.39

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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.