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Finding the Fourth Proportional to 214,072.64, 321,096.60 and 64,309.64

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Solution

The fourth proportional to 214,072.64, 321,096.60 and 64,309.64 is: 96,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,072.64 : 321,096.60 = 64,309.64 : x
  2. Step 2: Convert to fraction form
    214,072.64/321,096.60 = 64,309.64/x
  3. Step 3: Cross multiply
    214,072.64x = 321,096.60 × 64,309.64
  4. Step 4: Simplify right side
    214,072.64x = 20,649,606,751.22
  5. Step 5: Solve for x
    x = 20,649,606,751.22/214,072.64
  6. Step 6: Final answer
    x = 96,460.75

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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.