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Finding the Fourth Proportional to 214,054.62, 321,069.64 and 64,291.60

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Solution

The fourth proportional to 214,054.62, 321,069.64 and 64,291.60 is: 96,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,054.62 : 321,069.64 = 64,291.60 : x
  2. Step 2: Convert to fraction form
    214,054.62/321,069.64 = 64,291.60/x
  3. Step 3: Cross multiply
    214,054.62x = 321,069.64 × 64,291.60
  4. Step 4: Simplify right side
    214,054.62x = 20,642,080,867.02
  5. Step 5: Solve for x
    x = 20,642,080,867.02/214,054.62
  6. Step 6: Final answer
    x = 96,433.71

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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.