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Finding the Fourth Proportional to 214,200.50, 321,345.85 and 81,077.81

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Solution

The fourth proportional to 214,200.50, 321,345.85 and 81,077.81 is: 121,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,200.50 : 321,345.85 = 81,077.81 : x
  2. Step 2: Convert to fraction form
    214,200.50/321,345.85 = 81,077.81/x
  3. Step 3: Cross multiply
    214,200.50x = 321,345.85 × 81,077.81
  4. Step 4: Simplify right side
    214,200.50x = 26,054,017,169.92
  5. Step 5: Solve for x
    x = 26,054,017,169.92/214,200.50
  6. Step 6: Final answer
    x = 121,633.78

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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.