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Finding the Fourth Proportional to 229,769.40, 344,913.30 and 136,327.80

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Solution

The fourth proportional to 229,769.40, 344,913.30 and 136,327.80 is: 204,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,769.40 : 344,913.30 = 136,327.80 : x
  2. Step 2: Convert to fraction form
    229,769.40/344,913.30 = 136,327.80/x
  3. Step 3: Cross multiply
    229,769.40x = 344,913.30 × 136,327.80
  4. Step 4: Simplify right side
    229,769.40x = 47,021,271,379.74
  5. Step 5: Solve for x
    x = 47,021,271,379.74/229,769.40
  6. Step 6: Final answer
    x = 204,645.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.