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Finding the Fourth Proportional to 214,758.52, 322,137.48 and 90,099.52

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Solution

The fourth proportional to 214,758.52, 322,137.48 and 90,099.52 is: 135,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,758.52 : 322,137.48 = 90,099.52 : x
  2. Step 2: Convert to fraction form
    214,758.52/322,137.48 = 90,099.52/x
  3. Step 3: Cross multiply
    214,758.52x = 322,137.48 × 90,099.52
  4. Step 4: Simplify right side
    214,758.52x = 29,024,432,322.01
  5. Step 5: Solve for x
    x = 29,024,432,322.01/214,758.52
  6. Step 6: Final answer
    x = 135,149.15

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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.