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Finding the Fourth Proportional to 216,449.04, 298,694.16 and 120,956.52

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Solution

The fourth proportional to 216,449.04, 298,694.16 and 120,956.52 is: 166,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,449.04 : 298,694.16 = 120,956.52 : x
  2. Step 2: Convert to fraction form
    216,449.04/298,694.16 = 120,956.52/x
  3. Step 3: Cross multiply
    216,449.04x = 298,694.16 × 120,956.52
  4. Step 4: Simplify right side
    216,449.04x = 36,129,006,137.92
  5. Step 5: Solve for x
    x = 36,129,006,137.92/216,449.04
  6. Step 6: Final answer
    x = 166,916.92

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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.