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Finding the Fourth Proportional to 233,667, 322,460.46 and 127,683

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Solution

The fourth proportional to 233,667, 322,460.46 and 127,683 is: 176,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,667 : 322,460.46 = 127,683 : x
  2. Step 2: Convert to fraction form
    233,667/322,460.46 = 127,683/x
  3. Step 3: Cross multiply
    233,667x = 322,460.46 × 127,683
  4. Step 4: Simplify right side
    233,667x = 41,172,718,914.18
  5. Step 5: Solve for x
    x = 41,172,718,914.18/233,667
  6. Step 6: Final answer
    x = 176,202.54

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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.