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Finding the Fourth Proportional to 129,954.80, 194,956.49 and 41,184.47

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Solution

The fourth proportional to 129,954.80, 194,956.49 and 41,184.47 is: 61,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,954.80 : 194,956.49 = 41,184.47 : x
  2. Step 2: Convert to fraction form
    129,954.80/194,956.49 = 41,184.47/x
  3. Step 3: Cross multiply
    129,954.80x = 194,956.49 × 41,184.47
  4. Step 4: Simplify right side
    129,954.80x = 8,029,178,738.93
  5. Step 5: Solve for x
    x = 8,029,178,738.93/129,954.80
  6. Step 6: Final answer
    x = 61,784.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.