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Finding the Fourth Proportional to 219,542.81, 302,952.34 and 133,489.84

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Solution

The fourth proportional to 219,542.81, 302,952.34 and 133,489.84 is: 184,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,542.81 : 302,952.34 = 133,489.84 : x
  2. Step 2: Convert to fraction form
    219,542.81/302,952.34 = 133,489.84/x
  3. Step 3: Cross multiply
    219,542.81x = 302,952.34 × 133,489.84
  4. Step 4: Simplify right side
    219,542.81x = 40,441,059,394.23
  5. Step 5: Solve for x
    x = 40,441,059,394.23/219,542.81
  6. Step 6: Final answer
    x = 184,205.80

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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.