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Finding the Fourth Proportional to 302,110.90, 416,903.49 and 166,144.42

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Solution

The fourth proportional to 302,110.90, 416,903.49 and 166,144.42 is: 229,274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,110.90 : 416,903.49 = 166,144.42 : x
  2. Step 2: Convert to fraction form
    302,110.90/416,903.49 = 166,144.42/x
  3. Step 3: Cross multiply
    302,110.90x = 416,903.49 × 166,144.42
  4. Step 4: Simplify right side
    302,110.90x = 69,266,188,542.03
  5. Step 5: Solve for x
    x = 69,266,188,542.03/302,110.90
  6. Step 6: Final answer
    x = 229,274.05

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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.