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Finding the Fourth Proportional to 302,514.12, 417,453.12 and 166,521.60

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Solution

The fourth proportional to 302,514.12, 417,453.12 and 166,521.60 is: 229,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,514.12 : 417,453.12 = 166,521.60 : x
  2. Step 2: Convert to fraction form
    302,514.12/417,453.12 = 166,521.60/x
  3. Step 3: Cross multiply
    302,514.12x = 417,453.12 × 166,521.60
  4. Step 4: Simplify right side
    302,514.12x = 69,514,961,467.39
  5. Step 5: Solve for x
    x = 69,514,961,467.39/302,514.12
  6. Step 6: Final answer
    x = 229,790.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.