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Finding the Fourth Proportional to 267,008.46, 368,468.56 and 144,498

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Solution

The fourth proportional to 267,008.46, 368,468.56 and 144,498 is: 199,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,008.46 : 368,468.56 = 144,498 : x
  2. Step 2: Convert to fraction form
    267,008.46/368,468.56 = 144,498/x
  3. Step 3: Cross multiply
    267,008.46x = 368,468.56 × 144,498
  4. Step 4: Simplify right side
    267,008.46x = 53,242,969,982.88
  5. Step 5: Solve for x
    x = 53,242,969,982.88/267,008.46
  6. Step 6: Final answer
    x = 199,405.55

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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.