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Finding the Fourth Proportional to 151,883.49, 209,598.37 and 83,905.14

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Solution

The fourth proportional to 151,883.49, 209,598.37 and 83,905.14 is: 115,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,883.49 : 209,598.37 = 83,905.14 : x
  2. Step 2: Convert to fraction form
    151,883.49/209,598.37 = 83,905.14/x
  3. Step 3: Cross multiply
    151,883.49x = 209,598.37 × 83,905.14
  4. Step 4: Simplify right side
    151,883.49x = 17,586,380,578.62
  5. Step 5: Solve for x
    x = 17,586,380,578.62/151,883.49
  6. Step 6: Final answer
    x = 115,788.63

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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.