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Finding the Fourth Proportional to 302,174.73, 417,011.28 and 166,214.40

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Solution

The fourth proportional to 302,174.73, 417,011.28 and 166,214.40 is: 229,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,174.73 : 417,011.28 = 166,214.40 : x
  2. Step 2: Convert to fraction form
    302,174.73/417,011.28 = 166,214.40/x
  3. Step 3: Cross multiply
    302,174.73x = 417,011.28 × 166,214.40
  4. Step 4: Simplify right side
    302,174.73x = 69,313,279,698.43
  5. Step 5: Solve for x
    x = 69,313,279,698.43/302,174.73
  6. Step 6: Final answer
    x = 229,381.46

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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.