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Finding the Fourth Proportional to 151,996.60, 209,748.78 and 84,010.06

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Solution

The fourth proportional to 151,996.60, 209,748.78 and 84,010.06 is: 115,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,996.60 : 209,748.78 = 84,010.06 : x
  2. Step 2: Convert to fraction form
    151,996.60/209,748.78 = 84,010.06/x
  3. Step 3: Cross multiply
    151,996.60x = 209,748.78 × 84,010.06
  4. Step 4: Simplify right side
    151,996.60x = 17,621,007,592.73
  5. Step 5: Solve for x
    x = 17,621,007,592.73/151,996.60
  6. Step 6: Final answer
    x = 115,930.27

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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.