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Finding the Fourth Proportional to 129,954.65, 194,938.92 and 41,215.23

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Solution

The fourth proportional to 129,954.65, 194,938.92 and 41,215.23 is: 61,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,954.65 : 194,938.92 = 41,215.23 : x
  2. Step 2: Convert to fraction form
    129,954.65/194,938.92 = 41,215.23/x
  3. Step 3: Cross multiply
    129,954.65x = 194,938.92 × 41,215.23
  4. Step 4: Simplify right side
    129,954.65x = 8,034,452,423.75
  5. Step 5: Solve for x
    x = 8,034,452,423.75/129,954.65
  6. Step 6: Final answer
    x = 61,825.05

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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.