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Finding the Fourth Proportional to 302,123.59, 416,935.34 and 166,163.47

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Solution

The fourth proportional to 302,123.59, 416,935.34 and 166,163.47 is: 229,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,123.59 : 416,935.34 = 166,163.47 : x
  2. Step 2: Convert to fraction form
    302,123.59/416,935.34 = 166,163.47/x
  3. Step 3: Cross multiply
    302,123.59x = 416,935.34 × 166,163.47
  4. Step 4: Simplify right side
    302,123.59x = 69,279,422,860.03
  5. Step 5: Solve for x
    x = 69,279,422,860.03/302,123.59
  6. Step 6: Final answer
    x = 229,308.22

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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.