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Finding the Fourth Proportional to 214,272.15, 321,404.64 and 52,167.90

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Solution

The fourth proportional to 214,272.15, 321,404.64 and 52,167.90 is: 78,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,272.15 : 321,404.64 = 52,167.90 : x
  2. Step 2: Convert to fraction form
    214,272.15/321,404.64 = 52,167.90/x
  3. Step 3: Cross multiply
    214,272.15x = 321,404.64 × 52,167.90
  4. Step 4: Simplify right side
    214,272.15x = 16,767,005,119.06
  5. Step 5: Solve for x
    x = 16,767,005,119.06/214,272.15
  6. Step 6: Final answer
    x = 78,250.98

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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.