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Finding the Fourth Proportional to 302,952.34, 418,077.02 and 166,991.50

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Solution

The fourth proportional to 302,952.34, 418,077.02 and 166,991.50 is: 230,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,952.34 : 418,077.02 = 166,991.50 : x
  2. Step 2: Convert to fraction form
    302,952.34/418,077.02 = 166,991.50/x
  3. Step 3: Cross multiply
    302,952.34x = 418,077.02 × 166,991.50
  4. Step 4: Simplify right side
    302,952.34x = 69,815,308,685.33
  5. Step 5: Solve for x
    x = 69,815,308,685.33/302,952.34
  6. Step 6: Final answer
    x = 230,449.81

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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.