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Finding the Fourth Proportional to 129,956.52, 194,941.74 and 41,216.76

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Solution

The fourth proportional to 129,956.52, 194,941.74 and 41,216.76 is: 61,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,956.52 : 194,941.74 = 41,216.76 : x
  2. Step 2: Convert to fraction form
    129,956.52/194,941.74 = 41,216.76/x
  3. Step 3: Cross multiply
    129,956.52x = 194,941.74 × 41,216.76
  4. Step 4: Simplify right side
    129,956.52x = 8,034,866,911.56
  5. Step 5: Solve for x
    x = 8,034,866,911.56/129,956.52
  6. Step 6: Final answer
    x = 61,827.35

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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.