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Finding the Fourth Proportional to 176,381.40, 264,312.90 and 71,016.60

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Solution

The fourth proportional to 176,381.40, 264,312.90 and 71,016.60 is: 106,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,381.40 : 264,312.90 = 71,016.60 : x
  2. Step 2: Convert to fraction form
    176,381.40/264,312.90 = 71,016.60/x
  3. Step 3: Cross multiply
    176,381.40x = 264,312.90 × 71,016.60
  4. Step 4: Simplify right side
    176,381.40x = 18,770,603,494.14
  5. Step 5: Solve for x
    x = 18,770,603,494.14/176,381.40
  6. Step 6: Final answer
    x = 106,420.54

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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.