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Finding the Fourth Proportional to 167,225.81, 230,771.63 and 100,157.81

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Solution

The fourth proportional to 167,225.81, 230,771.63 and 100,157.81 is: 138,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,225.81 : 230,771.63 = 100,157.81 : x
  2. Step 2: Convert to fraction form
    167,225.81/230,771.63 = 100,157.81/x
  3. Step 3: Cross multiply
    167,225.81x = 230,771.63 × 100,157.81
  4. Step 4: Simplify right side
    167,225.81x = 23,113,581,147.07
  5. Step 5: Solve for x
    x = 23,113,581,147.07/167,225.81
  6. Step 6: Final answer
    x = 138,217.78

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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.