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Finding the Fourth Proportional to 214,616.93, 321,706.69 and 96,256.49

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Solution

The fourth proportional to 214,616.93, 321,706.69 and 96,256.49 is: 144,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,616.93 : 321,706.69 = 96,256.49 : x
  2. Step 2: Convert to fraction form
    214,616.93/321,706.69 = 96,256.49/x
  3. Step 3: Cross multiply
    214,616.93x = 321,706.69 × 96,256.49
  4. Step 4: Simplify right side
    214,616.93x = 30,966,356,788.92
  5. Step 5: Solve for x
    x = 30,966,356,788.92/214,616.93
  6. Step 6: Final answer
    x = 144,286.64

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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.