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Finding the Fourth Proportional to 150,667, 207,926.94 and 83,599

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Solution

The fourth proportional to 150,667, 207,926.94 and 83,599 is: 115,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,667 : 207,926.94 = 83,599 : x
  2. Step 2: Convert to fraction form
    150,667/207,926.94 = 83,599/x
  3. Step 3: Cross multiply
    150,667x = 207,926.94 × 83,599
  4. Step 4: Simplify right side
    150,667x = 17,382,484,257.06
  5. Step 5: Solve for x
    x = 17,382,484,257.06/150,667
  6. Step 6: Final answer
    x = 115,370.22

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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.