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Finding the Fourth Proportional to 215,441.94, 323,124 and 75,240.66

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Solution

The fourth proportional to 215,441.94, 323,124 and 75,240.66 is: 112,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,441.94 : 323,124 = 75,240.66 : x
  2. Step 2: Convert to fraction form
    215,441.94/323,124 = 75,240.66/x
  3. Step 3: Cross multiply
    215,441.94x = 323,124 × 75,240.66
  4. Step 4: Simplify right side
    215,441.94x = 24,312,063,021.84
  5. Step 5: Solve for x
    x = 24,312,063,021.84/215,441.94
  6. Step 6: Final answer
    x = 112,847.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.