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Finding the Fourth Proportional to 251,023.50, 346,414.86 and 137,848.68

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Solution

The fourth proportional to 251,023.50, 346,414.86 and 137,848.68 is: 190,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,023.50 : 346,414.86 = 137,848.68 : x
  2. Step 2: Convert to fraction form
    251,023.50/346,414.86 = 137,848.68/x
  3. Step 3: Cross multiply
    251,023.50x = 346,414.86 × 137,848.68
  4. Step 4: Simplify right side
    251,023.50x = 47,752,831,183.38
  5. Step 5: Solve for x
    x = 47,752,831,183.38/251,023.50
  6. Step 6: Final answer
    x = 190,232.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.