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Finding the Fourth Proportional to 234,748.80, 323,942.40 and 144,086.40

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Solution

The fourth proportional to 234,748.80, 323,942.40 and 144,086.40 is: 198,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,748.80 : 323,942.40 = 144,086.40 : x
  2. Step 2: Convert to fraction form
    234,748.80/323,942.40 = 144,086.40/x
  3. Step 3: Cross multiply
    234,748.80x = 323,942.40 × 144,086.40
  4. Step 4: Simplify right side
    234,748.80x = 46,675,694,223.36
  5. Step 5: Solve for x
    x = 46,675,694,223.36/234,748.80
  6. Step 6: Final answer
    x = 198,832.51

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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.