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Finding the Fourth Proportional to 167,041, 230,624.10 and 149,105.32

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Solution

The fourth proportional to 167,041, 230,624.10 and 149,105.32 is: 205,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,041 : 230,624.10 = 149,105.32 : x
  2. Step 2: Convert to fraction form
    167,041/230,624.10 = 149,105.32/x
  3. Step 3: Cross multiply
    167,041x = 230,624.10 × 149,105.32
  4. Step 4: Simplify right side
    167,041x = 34,387,280,230.21
  5. Step 5: Solve for x
    x = 34,387,280,230.21/167,041
  6. Step 6: Final answer
    x = 205,861.32

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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.