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Finding the Fourth Proportional to 302,106.56, 416,910.84 and 166,155.44

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Solution

The fourth proportional to 302,106.56, 416,910.84 and 166,155.44 is: 229,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,106.56 : 416,910.84 = 166,155.44 : x
  2. Step 2: Convert to fraction form
    302,106.56/416,910.84 = 166,155.44/x
  3. Step 3: Cross multiply
    302,106.56x = 416,910.84 × 166,155.44
  4. Step 4: Simplify right side
    302,106.56x = 69,272,004,060.97
  5. Step 5: Solve for x
    x = 69,272,004,060.97/302,106.56
  6. Step 6: Final answer
    x = 229,296.59

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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.