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Finding the Fourth Proportional to 214,458.30, 321,765.45 and 74,231.10

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Solution

The fourth proportional to 214,458.30, 321,765.45 and 74,231.10 is: 111,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,458.30 : 321,765.45 = 74,231.10 : x
  2. Step 2: Convert to fraction form
    214,458.30/321,765.45 = 74,231.10/x
  3. Step 3: Cross multiply
    214,458.30x = 321,765.45 × 74,231.10
  4. Step 4: Simplify right side
    214,458.30x = 23,885,003,295.50
  5. Step 5: Solve for x
    x = 23,885,003,295.50/214,458.30
  6. Step 6: Final answer
    x = 111,373.65

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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.