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Finding the Fourth Proportional to 234,709.68, 323,896.52 and 127,278.43

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Solution

The fourth proportional to 234,709.68, 323,896.52 and 127,278.43 is: 175,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,709.68 : 323,896.52 = 127,278.43 : x
  2. Step 2: Convert to fraction form
    234,709.68/323,896.52 = 127,278.43/x
  3. Step 3: Cross multiply
    234,709.68x = 323,896.52 × 127,278.43
  4. Step 4: Simplify right side
    234,709.68x = 41,225,039,601.04
  5. Step 5: Solve for x
    x = 41,225,039,601.04/234,709.68
  6. Step 6: Final answer
    x = 175,642.69

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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.