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Finding the Fourth Proportional to 214,676.90, 322,162.98 and 74,435.52

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Solution

The fourth proportional to 214,676.90, 322,162.98 and 74,435.52 is: 111,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676.90 : 322,162.98 = 74,435.52 : x
  2. Step 2: Convert to fraction form
    214,676.90/322,162.98 = 74,435.52/x
  3. Step 3: Cross multiply
    214,676.90x = 322,162.98 × 74,435.52
  4. Step 4: Simplify right side
    214,676.90x = 23,980,368,941.05
  5. Step 5: Solve for x
    x = 23,980,368,941.05/214,676.90
  6. Step 6: Final answer
    x = 111,704.47

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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.