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Finding the Fourth Proportional to 214,874.57, 322,201.14 and 96,444.42

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Solution

The fourth proportional to 214,874.57, 322,201.14 and 96,444.42 is: 144,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,874.57 : 322,201.14 = 96,444.42 : x
  2. Step 2: Convert to fraction form
    214,874.57/322,201.14 = 96,444.42/x
  3. Step 3: Cross multiply
    214,874.57x = 322,201.14 × 96,444.42
  4. Step 4: Simplify right side
    214,874.57x = 31,074,502,855.60
  5. Step 5: Solve for x
    x = 31,074,502,855.60/214,874.57
  6. Step 6: Final answer
    x = 144,616.94

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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.