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Finding the Fourth Proportional to 218,119.62, 301,000.74 and 121,321.38

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Solution

The fourth proportional to 218,119.62, 301,000.74 and 121,321.38 is: 167,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,119.62 : 301,000.74 = 121,321.38 : x
  2. Step 2: Convert to fraction form
    218,119.62/301,000.74 = 121,321.38/x
  3. Step 3: Cross multiply
    218,119.62x = 301,000.74 × 121,321.38
  4. Step 4: Simplify right side
    218,119.62x = 36,517,825,157.82
  5. Step 5: Solve for x
    x = 36,517,825,157.82/218,119.62
  6. Step 6: Final answer
    x = 167,421.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.