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Finding the Fourth Proportional to 230,212.64, 345,365.78 and 97,093.37

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Solution

The fourth proportional to 230,212.64, 345,365.78 and 97,093.37 is: 145,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,212.64 : 345,365.78 = 97,093.37 : x
  2. Step 2: Convert to fraction form
    230,212.64/345,365.78 = 97,093.37/x
  3. Step 3: Cross multiply
    230,212.64x = 345,365.78 × 97,093.37
  4. Step 4: Simplify right side
    230,212.64x = 33,532,725,250.58
  5. Step 5: Solve for x
    x = 33,532,725,250.58/230,212.64
  6. Step 6: Final answer
    x = 145,659.80

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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.