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Finding the Fourth Proportional to 151,625.80, 209,241 and 83,649.28

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Solution

The fourth proportional to 151,625.80, 209,241 and 83,649.28 is: 115,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,625.80 : 209,241 = 83,649.28 : x
  2. Step 2: Convert to fraction form
    151,625.80/209,241 = 83,649.28/x
  3. Step 3: Cross multiply
    151,625.80x = 209,241 × 83,649.28
  4. Step 4: Simplify right side
    151,625.80x = 17,502,858,996.48
  5. Step 5: Solve for x
    x = 17,502,858,996.48/151,625.80
  6. Step 6: Final answer
    x = 115,434.57

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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.