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Finding the Fourth Proportional to 302,071.47, 416,850.17 and 166,105.68

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Solution

The fourth proportional to 302,071.47, 416,850.17 and 166,105.68 is: 229,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,071.47 : 416,850.17 = 166,105.68 : x
  2. Step 2: Convert to fraction form
    302,071.47/416,850.17 = 166,105.68/x
  3. Step 3: Cross multiply
    302,071.47x = 416,850.17 × 166,105.68
  4. Step 4: Simplify right side
    302,071.47x = 69,241,180,115.44
  5. Step 5: Solve for x
    x = 69,241,180,115.44/302,071.47
  6. Step 6: Final answer
    x = 229,221.18

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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.