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Finding the Fourth Proportional to 302,081.54, 416,879.27 and 166,106.84

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Solution

The fourth proportional to 302,081.54, 416,879.27 and 166,106.84 is: 229,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,081.54 : 416,879.27 = 166,106.84 : x
  2. Step 2: Convert to fraction form
    302,081.54/416,879.27 = 166,106.84/x
  3. Step 3: Cross multiply
    302,081.54x = 416,879.27 × 166,106.84
  4. Step 4: Simplify right side
    302,081.54x = 69,246,495,286.28
  5. Step 5: Solve for x
    x = 69,246,495,286.28/302,081.54
  6. Step 6: Final answer
    x = 229,231.14

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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.