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Finding the Fourth Proportional to 150,504.39, 207,705.38 and 83,436.39

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Solution

The fourth proportional to 150,504.39, 207,705.38 and 83,436.39 is: 115,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,504.39 : 207,705.38 = 83,436.39 : x
  2. Step 2: Convert to fraction form
    150,504.39/207,705.38 = 83,436.39/x
  3. Step 3: Cross multiply
    150,504.39x = 207,705.38 × 83,436.39
  4. Step 4: Simplify right side
    150,504.39x = 17,330,187,090.78
  5. Step 5: Solve for x
    x = 17,330,187,090.78/150,504.39
  6. Step 6: Final answer
    x = 115,147.39

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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.