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Finding the Fourth Proportional to 214,491.67, 321,739.80 and 64,733.30

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Solution

The fourth proportional to 214,491.67, 321,739.80 and 64,733.30 is: 97,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,491.67 : 321,739.80 = 64,733.30 : x
  2. Step 2: Convert to fraction form
    214,491.67/321,739.80 = 64,733.30/x
  3. Step 3: Cross multiply
    214,491.67x = 321,739.80 × 64,733.30
  4. Step 4: Simplify right side
    214,491.67x = 20,827,278,995.34
  5. Step 5: Solve for x
    x = 20,827,278,995.34/214,491.67
  6. Step 6: Final answer
    x = 97,100.64

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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.