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Finding the Fourth Proportional to 279,720, 419,646.42 and 92,731.50

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Solution

The fourth proportional to 279,720, 419,646.42 and 92,731.50 is: 139,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,720 : 419,646.42 = 92,731.50 : x
  2. Step 2: Convert to fraction form
    279,720/419,646.42 = 92,731.50/x
  3. Step 3: Cross multiply
    279,720x = 419,646.42 × 92,731.50
  4. Step 4: Simplify right side
    279,720x = 38,914,441,996.23
  5. Step 5: Solve for x
    x = 38,914,441,996.23/279,720
  6. Step 6: Final answer
    x = 139,119.27

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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.