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Finding the Fourth Proportional to 214,076.80, 321,118.80 and 81,019.72

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Solution

The fourth proportional to 214,076.80, 321,118.80 and 81,019.72 is: 121,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,076.80 : 321,118.80 = 81,019.72 : x
  2. Step 2: Convert to fraction form
    214,076.80/321,118.80 = 81,019.72/x
  3. Step 3: Cross multiply
    214,076.80x = 321,118.80 × 81,019.72
  4. Step 4: Simplify right side
    214,076.80x = 26,016,955,262.74
  5. Step 5: Solve for x
    x = 26,016,955,262.74/214,076.80
  6. Step 6: Final answer
    x = 121,530.94

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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.