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Finding the Fourth Proportional to 214,645.68, 321,974.60 and 56,874.15

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Solution

The fourth proportional to 214,645.68, 321,974.60 and 56,874.15 is: 85,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,645.68 : 321,974.60 = 56,874.15 : x
  2. Step 2: Convert to fraction form
    214,645.68/321,974.60 = 56,874.15/x
  3. Step 3: Cross multiply
    214,645.68x = 321,974.60 × 56,874.15
  4. Step 4: Simplify right side
    214,645.68x = 18,312,031,412.22
  5. Step 5: Solve for x
    x = 18,312,031,412.22/214,645.68
  6. Step 6: Final answer
    x = 85,312.83

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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.