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Finding the Fourth Proportional to 234,584.89, 323,727.69 and 127,154.43

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Solution

The fourth proportional to 234,584.89, 323,727.69 and 127,154.43 is: 175,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,584.89 : 323,727.69 = 127,154.43 : x
  2. Step 2: Convert to fraction form
    234,584.89/323,727.69 = 127,154.43/x
  3. Step 3: Cross multiply
    234,584.89x = 323,727.69 × 127,154.43
  4. Step 4: Simplify right side
    234,584.89x = 41,163,409,897.17
  5. Step 5: Solve for x
    x = 41,163,409,897.17/234,584.89
  6. Step 6: Final answer
    x = 175,473.41

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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.