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Finding the Fourth Proportional to 239,801.84, 331,059.12 and 144,332

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Solution

The fourth proportional to 239,801.84, 331,059.12 and 144,332 is: 199,257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,801.84 : 331,059.12 = 144,332 : x
  2. Step 2: Convert to fraction form
    239,801.84/331,059.12 = 144,332/x
  3. Step 3: Cross multiply
    239,801.84x = 331,059.12 × 144,332
  4. Step 4: Simplify right side
    239,801.84x = 47,782,424,907.84
  5. Step 5: Solve for x
    x = 47,782,424,907.84/239,801.84
  6. Step 6: Final answer
    x = 199,257.96

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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.