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Finding the Fourth Proportional to 251,057.81, 346,462.52 and 137,880.56

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Solution

The fourth proportional to 251,057.81, 346,462.52 and 137,880.56 is: 190,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,057.81 : 346,462.52 = 137,880.56 : x
  2. Step 2: Convert to fraction form
    251,057.81/346,462.52 = 137,880.56/x
  3. Step 3: Cross multiply
    251,057.81x = 346,462.52 × 137,880.56
  4. Step 4: Simplify right side
    251,057.81x = 47,770,446,453.36
  5. Step 5: Solve for x
    x = 47,770,446,453.36/251,057.81
  6. Step 6: Final answer
    x = 190,276.68

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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.