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Finding the Fourth Proportional to 218,053.60, 327,015.60 and 84,857.20

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Solution

The fourth proportional to 218,053.60, 327,015.60 and 84,857.20 is: 127,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,053.60 : 327,015.60 = 84,857.20 : x
  2. Step 2: Convert to fraction form
    218,053.60/327,015.60 = 84,857.20/x
  3. Step 3: Cross multiply
    218,053.60x = 327,015.60 × 84,857.20
  4. Step 4: Simplify right side
    218,053.60x = 27,749,628,172.32
  5. Step 5: Solve for x
    x = 27,749,628,172.32/218,053.60
  6. Step 6: Final answer
    x = 127,260.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.