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Finding the Fourth Proportional to 150,078.26, 207,108.42 and 83,010.26

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Solution

The fourth proportional to 150,078.26, 207,108.42 and 83,010.26 is: 114,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,078.26 : 207,108.42 = 83,010.26 : x
  2. Step 2: Convert to fraction form
    150,078.26/207,108.42 = 83,010.26/x
  3. Step 3: Cross multiply
    150,078.26x = 207,108.42 × 83,010.26
  4. Step 4: Simplify right side
    150,078.26x = 17,192,123,792.39
  5. Step 5: Solve for x
    x = 17,192,123,792.39/150,078.26
  6. Step 6: Final answer
    x = 114,554.39

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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.