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Finding the Fourth Proportional to 251,265.97, 346,629 and 149,294.53

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Solution

The fourth proportional to 251,265.97, 346,629 and 149,294.53 is: 205,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,265.97 : 346,629 = 149,294.53 : x
  2. Step 2: Convert to fraction form
    251,265.97/346,629 = 149,294.53/x
  3. Step 3: Cross multiply
    251,265.97x = 346,629 × 149,294.53
  4. Step 4: Simplify right side
    251,265.97x = 51,749,813,639.37
  5. Step 5: Solve for x
    x = 51,749,813,639.37/251,265.97
  6. Step 6: Final answer
    x = 205,956.32

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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.