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Finding the Fourth Proportional to 166,771.50, 230,180.40 and 106,328.22

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Solution

The fourth proportional to 166,771.50, 230,180.40 and 106,328.22 is: 146,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,771.50 : 230,180.40 = 106,328.22 : x
  2. Step 2: Convert to fraction form
    166,771.50/230,180.40 = 106,328.22/x
  3. Step 3: Cross multiply
    166,771.50x = 230,180.40 × 106,328.22
  4. Step 4: Simplify right side
    166,771.50x = 24,474,672,210.89
  5. Step 5: Solve for x
    x = 24,474,672,210.89/166,771.50
  6. Step 6: Final answer
    x = 146,755.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.