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Finding the Fourth Proportional to 302,321.36, 417,206.43 and 166,358.23

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Solution

The fourth proportional to 302,321.36, 417,206.43 and 166,358.23 is: 229,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,321.36 : 417,206.43 = 166,358.23 : x
  2. Step 2: Convert to fraction form
    302,321.36/417,206.43 = 166,358.23/x
  3. Step 3: Cross multiply
    302,321.36x = 417,206.43 × 166,358.23
  4. Step 4: Simplify right side
    302,321.36x = 69,405,722,196.40
  5. Step 5: Solve for x
    x = 69,405,722,196.40/302,321.36
  6. Step 6: Final answer
    x = 229,575.98

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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.