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Finding the Fourth Proportional to 215,879.76, 323,623.62 and 75,561.84

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Solution

The fourth proportional to 215,879.76, 323,623.62 and 75,561.84 is: 113,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,879.76 : 323,623.62 = 75,561.84 : x
  2. Step 2: Convert to fraction form
    215,879.76/323,623.62 = 75,561.84/x
  3. Step 3: Cross multiply
    215,879.76x = 323,623.62 × 75,561.84
  4. Step 4: Simplify right side
    215,879.76x = 24,453,596,194.66
  5. Step 5: Solve for x
    x = 24,453,596,194.66/215,879.76
  6. Step 6: Final answer
    x = 113,274.15

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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.