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Finding the Fourth Proportional to 302,103.33, 416,913.29 and 166,147.78

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Solution

The fourth proportional to 302,103.33, 416,913.29 and 166,147.78 is: 229,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,103.33 : 416,913.29 = 166,147.78 : x
  2. Step 2: Convert to fraction form
    302,103.33/416,913.29 = 166,147.78/x
  3. Step 3: Cross multiply
    302,103.33x = 416,913.29 × 166,147.78
  4. Step 4: Simplify right side
    302,103.33x = 69,269,217,586.00
  5. Step 5: Solve for x
    x = 69,269,217,586.00/302,103.33
  6. Step 6: Final answer
    x = 229,289.82

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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.