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Finding the Fourth Proportional to 178,895.38, 268,352.37 and 45,776.86

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Solution

The fourth proportional to 178,895.38, 268,352.37 and 45,776.86 is: 68,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,895.38 : 268,352.37 = 45,776.86 : x
  2. Step 2: Convert to fraction form
    178,895.38/268,352.37 = 45,776.86/x
  3. Step 3: Cross multiply
    178,895.38x = 268,352.37 × 45,776.86
  4. Step 4: Simplify right side
    178,895.38x = 12,284,328,872.16
  5. Step 5: Solve for x
    x = 12,284,328,872.16/178,895.38
  6. Step 6: Final answer
    x = 68,667.67

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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.