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Finding the Fourth Proportional to 216,034.62, 298,127.70 and 120,541.29

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Solution

The fourth proportional to 216,034.62, 298,127.70 and 120,541.29 is: 166,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,034.62 : 298,127.70 = 120,541.29 : x
  2. Step 2: Convert to fraction form
    216,034.62/298,127.70 = 120,541.29/x
  3. Step 3: Cross multiply
    216,034.62x = 298,127.70 × 120,541.29
  4. Step 4: Simplify right side
    216,034.62x = 35,936,697,542.73
  5. Step 5: Solve for x
    x = 35,936,697,542.73/216,034.62
  6. Step 6: Final answer
    x = 166,346.94

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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.