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Finding the Fourth Proportional to 196,364.63, 271,008.51 and 119,867.69

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Solution

The fourth proportional to 196,364.63, 271,008.51 and 119,867.69 is: 165,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,364.63 : 271,008.51 = 119,867.69 : x
  2. Step 2: Convert to fraction form
    196,364.63/271,008.51 = 119,867.69/x
  3. Step 3: Cross multiply
    196,364.63x = 271,008.51 × 119,867.69
  4. Step 4: Simplify right side
    196,364.63x = 32,485,164,064.04
  5. Step 5: Solve for x
    x = 32,485,164,064.04/196,364.63
  6. Step 6: Final answer
    x = 165,432.87

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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.