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Finding the Fourth Proportional to 215,988.68, 298,064.49 and 120,495.38

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Solution

The fourth proportional to 215,988.68, 298,064.49 and 120,495.38 is: 166,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,988.68 : 298,064.49 = 120,495.38 : x
  2. Step 2: Convert to fraction form
    215,988.68/298,064.49 = 120,495.38/x
  3. Step 3: Cross multiply
    215,988.68x = 298,064.49 × 120,495.38
  4. Step 4: Simplify right side
    215,988.68x = 35,915,392,496.73
  5. Step 5: Solve for x
    x = 35,915,392,496.73/215,988.68
  6. Step 6: Final answer
    x = 166,283.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.