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Finding the Fourth Proportional to 214,528.48, 321,844.76 and 64,759.82

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Solution

The fourth proportional to 214,528.48, 321,844.76 and 64,759.82 is: 97,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,528.48 : 321,844.76 = 64,759.82 : x
  2. Step 2: Convert to fraction form
    214,528.48/321,844.76 = 64,759.82/x
  3. Step 3: Cross multiply
    214,528.48x = 321,844.76 × 64,759.82
  4. Step 4: Simplify right side
    214,528.48x = 20,842,608,725.54
  5. Step 5: Solve for x
    x = 20,842,608,725.54/214,528.48
  6. Step 6: Final answer
    x = 97,155.44

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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.