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Finding the Fourth Proportional to 214,077.60, 321,040.80 and 73,803.60

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Solution

The fourth proportional to 214,077.60, 321,040.80 and 73,803.60 is: 110,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,077.60 : 321,040.80 = 73,803.60 : x
  2. Step 2: Convert to fraction form
    214,077.60/321,040.80 = 73,803.60/x
  3. Step 3: Cross multiply
    214,077.60x = 321,040.80 × 73,803.60
  4. Step 4: Simplify right side
    214,077.60x = 23,693,966,786.88
  5. Step 5: Solve for x
    x = 23,693,966,786.88/214,077.60
  6. Step 6: Final answer
    x = 110,679.34

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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.