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Finding the Fourth Proportional to 312,561.75, 468,842.22 and 75,904.05

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Solution

The fourth proportional to 312,561.75, 468,842.22 and 75,904.05 is: 113,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,561.75 : 468,842.22 = 75,904.05 : x
  2. Step 2: Convert to fraction form
    312,561.75/468,842.22 = 75,904.05/x
  3. Step 3: Cross multiply
    312,561.75x = 468,842.22 × 75,904.05
  4. Step 4: Simplify right side
    312,561.75x = 35,587,023,308.99
  5. Step 5: Solve for x
    x = 35,587,023,308.99/312,561.75
  6. Step 6: Final answer
    x = 113,855.98

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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.