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Finding the Fourth Proportional to 302,102.33, 416,911.91 and 166,146.78

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Solution

The fourth proportional to 302,102.33, 416,911.91 and 166,146.78 is: 229,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,102.33 : 416,911.91 = 166,146.78 : x
  2. Step 2: Convert to fraction form
    302,102.33/416,911.91 = 166,146.78/x
  3. Step 3: Cross multiply
    302,102.33x = 416,911.91 × 166,146.78
  4. Step 4: Simplify right side
    302,102.33x = 69,268,570,559.42
  5. Step 5: Solve for x
    x = 69,268,570,559.42/302,102.33
  6. Step 6: Final answer
    x = 229,288.44

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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.