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Finding the Fourth Proportional to 251,902.24, 347,625.12 and 138,724

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Solution

The fourth proportional to 251,902.24, 347,625.12 and 138,724 is: 191,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,902.24 : 347,625.12 = 138,724 : x
  2. Step 2: Convert to fraction form
    251,902.24/347,625.12 = 138,724/x
  3. Step 3: Cross multiply
    251,902.24x = 347,625.12 × 138,724
  4. Step 4: Simplify right side
    251,902.24x = 48,223,947,146.88
  5. Step 5: Solve for x
    x = 48,223,947,146.88/251,902.24
  6. Step 6: Final answer
    x = 191,439.14

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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.