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Finding the Fourth Proportional to 214,892.50, 321,895.74 and 125,876.12

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Solution

The fourth proportional to 214,892.50, 321,895.74 and 125,876.12 is: 188,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,892.50 : 321,895.74 = 125,876.12 : x
  2. Step 2: Convert to fraction form
    214,892.50/321,895.74 = 125,876.12/x
  3. Step 3: Cross multiply
    214,892.50x = 321,895.74 × 125,876.12
  4. Step 4: Simplify right side
    214,892.50x = 40,518,986,795.73
  5. Step 5: Solve for x
    x = 40,518,986,795.73/214,892.50
  6. Step 6: Final answer
    x = 188,554.68

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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.