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Finding the Fourth Proportional to 214,570.89, 321,886.41 and 64,794.20

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Solution

The fourth proportional to 214,570.89, 321,886.41 and 64,794.20 is: 97,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,570.89 : 321,886.41 = 64,794.20 : x
  2. Step 2: Convert to fraction form
    214,570.89/321,886.41 = 64,794.20/x
  3. Step 3: Cross multiply
    214,570.89x = 321,886.41 × 64,794.20
  4. Step 4: Simplify right side
    214,570.89x = 20,856,370,574.41
  5. Step 5: Solve for x
    x = 20,856,370,574.41/214,570.89
  6. Step 6: Final answer
    x = 97,200.37

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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.