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Finding the Fourth Proportional to 302,077.98, 416,869.02 and 166,120.56

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Solution

The fourth proportional to 302,077.98, 416,869.02 and 166,120.56 is: 229,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,077.98 : 416,869.02 = 166,120.56 : x
  2. Step 2: Convert to fraction form
    302,077.98/416,869.02 = 166,120.56/x
  3. Step 3: Cross multiply
    302,077.98x = 416,869.02 × 166,120.56
  4. Step 4: Simplify right side
    302,077.98x = 69,250,515,049.05
  5. Step 5: Solve for x
    x = 69,250,515,049.05/302,077.98
  6. Step 6: Final answer
    x = 229,247.15

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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.